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3137342640 = 2435109119929
BaseRepresentation
bin1011101100000000…
…0000110010110000
322002122110112000120
42323000000302300
522411124431030
61235152050240
7140513654355
oct27300006260
98078415016
103137342640
11136aa47a63
12736833980
133acca1183
1421a95862c
15135673010
hexbb000cb0

3137342640 has 80 divisors (see below), whose sum is σ = 9815071200. Its totient is φ = 828942336.

The previous prime is 3137342627. The next prime is 3137342701. The reversal of 3137342640 is 462437313.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33805 + ... + 86124.

It is an arithmetic number, because the mean of its divisors is an integer number (122688390).

Almost surely, 23137342640 is an apocalyptic number.

3137342640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3137342640 is an abundant number, since it is smaller than the sum of its proper divisors (6677728560).

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

3137342640 is a wasteful number, since it uses less digits than its factorization.

3137342640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120054 (or 120048 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3137342640 is about 56011.9865743039. The cubic root of 3137342640 is about 1463.9311457957.

Adding to 3137342640 its reverse (462437313), we get a palindrome (3599779953).

The spelling of 3137342640 in words is "three billion, one hundred thirty-seven million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 119929 239858 359787 479716 599645 719574 959432 1199290 1439148 1798935 1918864 2398580 2878296 3597870 4797160 5756592 7195740 9594320 13072261 14391480 26144522 28782960 39216783 52289044 65361305 78433566 104578088 130722610 156867132 196083915 209156176 261445220 313734264 392167830 522890440 627468528 784335660 1045780880 1568671320 3137342640