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344480864 = 25713118297
BaseRepresentation
bin10100100010000…
…101110001100000
3220000012102220112
4110202011301200
51201141341424
654103230452
711352016250
oct2442056140
9800172815
10344480864
111674a5632
1297448428
13564a3040
1433a71960
152039860e
hex14885c60

344480864 has 48 divisors (see below), whose sum is σ = 834710688. Its totient is φ = 136276992.

The previous prime is 344480863. The next prime is 344480891. The reversal of 344480864 is 468084443.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344480861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56237 + ... + 62060.

It is an arithmetic number, because the mean of its divisors is an integer number (17389806).

Almost surely, 2344480864 is an apocalyptic number.

It is an amenable number.

344480864 is an abundant number, since it is smaller than the sum of its proper divisors (490229824).

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

344480864 is a wasteful number, since it uses less digits than its factorization.

344480864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118327 (or 118319 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The square root of 344480864 is about 18560.1956886235. The cubic root of 344480864 is about 701.0059441784.

The spelling of 344480864 in words is "three hundred forty-four million, four hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 118297 236594 473188 828079 946376 1537861 1656158 1892752 3075722 3312316 3785504 6151444 6624632 10765027 12302888 13249264 21530054 24605776 26498528 43060108 49211552 86120216 172240432 344480864