Search a number
-
+
3140132352 = 2937319421
BaseRepresentation
bin1011101100101010…
…1001111000000000
322002211201020210020
42323022221320000
522412333213402
61235331533440
7140546453550
oct27312517000
98084636706
103140132352
111371582a05
1273775a280
133b0739ba6
1421b083160
15135a248bc
hexbb2a9e00

3140132352 has 160 divisors (see below), whose sum is σ = 9870034944. Its totient is φ = 868147200.

The previous prime is 3140132329. The next prime is 3140132363. The reversal of 3140132352 is 2532310413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328602 + ... + 338022.

Almost surely, 23140132352 is an apocalyptic number.

3140132352 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 3140132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935017472).

3140132352 is an abundant number, since it is smaller than the sum of its proper divisors (6729902592).

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

3140132352 is an equidigital number, since it uses as much as digits as its factorization.

3140132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3140132352 is about 56036.8838534050. The cubic root of 3140132352 is about 1464.3649244076.

Adding to 3140132352 its reverse (2532310413), we get a palindrome (5672442765).

The spelling of 3140132352 in words is "three billion, one hundred forty million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 9421 10416 10752 11904 13888 15872 18842 20832 23808 27776 28263 37684 41664 47616 55552 56526 65947 75368 83328 111104 113052 131894 150736 166656 197841 226104 263788 292051 301472 333312 395682 452208 527576 584102 602944 791364 876153 904416 1055152 1168204 1205888 1582728 1752306 1808832 2044357 2110304 2336408 2411776 3165456 3504612 3617664 4088714 4220608 4672816 4823552 6133071 6330912 7009224 7235328 8177428 8441216 9345632 12266142 12661824 14018448 14470656 16354856 16882432 18691264 24532284 25323648 28036896 32709712 33764864 37382528 49064568 50647296 56073792 65419424 74765056 98129136 101294592 112147584 130838848 149530112 196258272 224295168 261677696 392516544 448590336 523355392 785033088 1046710784 1570066176 3140132352