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307640704 = 27717191063
BaseRepresentation
bin10010010101100…
…011100110000000
3210102212202201011
4102111203212000
51112224000304
650305450304
710423621450
oct2225434600
9712782634
10307640704
11148723018
1287040994
134b974827
142cc01d60
151c01cc04
hex12563980

307640704 has 128 divisors (see below), whose sum is σ = 781401600. Its totient is φ = 117448704.

The previous prime is 307640699. The next prime is 307640713. The reversal of 307640704 is 407046703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 288877 + ... + 289939.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2307640704 is an apocalyptic number.

307640704 is a gapful number since it is divisible by the number (34) 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 307640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

307640704 is an abundant number, since it is smaller than the sum of its proper divisors (473760896).

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

307640704 is a wasteful number, since it uses less digits than its factorization.

307640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 307640704 is about 17539.6893929169. The cubic root of 307640704 is about 675.0686379220.

The spelling of 307640704 in words is "three hundred seven million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 128 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 896 952 1063 1064 1088 1216 1292 1904 2126 2128 2176 2261 2432 2584 3808 4252 4256 4522 5168 7441 7616 8504 8512 9044 10336 14882 15232 17008 17024 18071 18088 20197 20672 29764 34016 36142 36176 40394 41344 59528 68032 72284 72352 80788 119056 126497 136064 141379 144568 144704 161576 238112 252994 282758 289136 289408 323152 343349 476224 505988 565516 578272 646304 686698 952448 1011976 1131032 1156544 1292608 1373396 2023952 2262064 2313088 2403443 2585216 2746792 4047904 4524128 4806886 5493584 8095808 9048256 9613772 10987168 16191616 18096512 19227544 21974336 38455088 43948672 76910176 153820352 307640704