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3490186752 = 29331319421
BaseRepresentation
bin1101000000001000…
…0000011000000000
3100000020101212011000
43100002000120000
524121441434002
61334154452000
7152330045403
oct32002003000
910006355130
103490186752
111531134a68
12814a34000
13438111a80
14251765d3a
1515661e61c
hexd0080600

3490186752 has 160 divisors (see below), whose sum is σ = 11126475360. Its totient is φ = 1073848320.

The previous prime is 3490186747. The next prime is 3490186753. The reversal of 3490186752 is 2576810943.

3490186752 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3490186752 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 3490186698 and 3490186707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490186753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170002 + ... + 189422.

It is an arithmetic number, because the mean of its divisors is an integer number (69540471).

It is a 1-persistent number, because it is pandigital, but 2⋅3490186752 = 6980373504 is not.

Almost surely, 23490186752 is an apocalyptic number.

3490186752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563237680).

3490186752 is an abundant number, since it is smaller than the sum of its proper divisors (7636288608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3490186752 is a wasteful number, since it uses less digits than its factorization.

3490186752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19461 (or 19439 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3490186752 is about 59077.8025319155. The cubic root of 3490186752 is about 1516.8741671793.

The spelling of 3490186752 in words is "three billion, four hundred ninety million, one hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 13824 14976 19421 19968 22464 29952 38842 44928 58263 59904 77684 89856 116526 155368 174789 179712 233052 252473 310736 349578 466104 504946 524367 621472 699156 757419 932208 1009892 1048734 1242944 1398312 1514838 1864416 2019784 2097468 2272257 2485888 2796624 3029676 3728832 4039568 4194936 4544514 4971776 5593248 6059352 6816771 7457664 8079136 8389872 9089028 9943552 11186496 12118704 13633542 14915328 16158272 16779744 18178056 22372992 24237408 27267084 29830656 32316544 33559488 36356112 44745984 48474816 54534168 64633088 67118976 72712224 89491968 96949632 109068336 129266176 134237952 145424448 193899264 218136672 268475904 290848896 387798528 436273344 581697792 872546688 1163395584 1745093376 3490186752