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346027140 = 223105293
BaseRepresentation
bin10100100111111…
…111010010000100
3220010010000000000
4110213333102010
51202040332030
654200321300
711401116324
oct2447772204
9803100000
10346027140
11168361348
1297a73230
13568c4ab4
1433d55284
15205a1860
hex149ff484

346027140 has 132 divisors (see below), whose sum is σ = 1093699404. Its totient is φ = 91958976.

The previous prime is 346027139. The next prime is 346027141. The reversal of 346027140 is 41720643.

It is an interprime number because it is at equal distance from previous prime (346027139) and next prime (346027141).

It can be written as a sum of positive squares in 2 ways, for example, as 241864704 + 104162436 = 15552^2 + 10206^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (346027141) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1180834 + ... + 1181126.

Almost surely, 2346027140 is an apocalyptic number.

346027140 is a gapful number since it is divisible by the number (30) 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 346027140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546849702).

346027140 is an abundant number, since it is smaller than the sum of its proper divisors (747672264).

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

346027140 is an equidigital number, since it uses as much as digits as its factorization.

346027140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 346027140 is about 18601.8047511525. The cubic root of 346027140 is about 702.0532503984.

Adding to 346027140 its reverse (41720643), we get a palindrome (387747783).

The spelling of 346027140 in words is "three hundred forty-six million, twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 293 324 405 486 540 586 729 810 879 972 1172 1215 1458 1465 1620 1758 2187 2430 2637 2916 2930 3516 3645 4374 4395 4860 5274 5860 6561 7290 7911 8748 8790 10548 10935 13122 13185 14580 15822 17580 19683 21870 23733 26244 26370 31644 32805 39366 39555 43740 47466 52740 59049 65610 71199 78732 79110 94932 98415 118098 118665 131220 142398 158220 196830 213597 236196 237330 284796 295245 355995 393660 427194 474660 590490 640791 711990 854388 1067985 1180980 1281582 1423980 1922373 2135970 2563164 3203955 3844746 4271940 5767119 6407910 7689492 9611865 11534238 12815820 17301357 19223730 23068476 28835595 34602714 38447460 57671190 69205428 86506785 115342380 173013570 346027140