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354057816 = 23372299203
BaseRepresentation
bin10101000110100…
…111111001011000
3220200020000000110
4111012213321120
51211114322231
655044404320
711526304350
oct2506477130
9820200013
10354057816
11171946972
129a6a66a0
1358477188
1435045b60
152113b046
hex151a7e58

354057816 has 64 divisors (see below), whose sum is σ = 1016121600. Its totient is φ = 100706688.

The previous prime is 354057797. The next prime is 354057817. The reversal of 354057816 is 618750453.

It is a hoax number, since the sum of its digits (39) 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 (354057817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33871 + ... + 43073.

It is an arithmetic number, because the mean of its divisors is an integer number (15876900).

Almost surely, 2354057816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354057816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508060800).

354057816 is an abundant number, since it is smaller than the sum of its proper divisors (662063784).

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

354057816 is a wasteful number, since it uses less digits than its factorization.

354057816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 354057816 is about 18816.4241023633. The cubic root of 354057816 is about 707.4429049890.

The spelling of 354057816 in words is "three hundred fifty-four million, fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1603 1832 2748 3206 4809 5496 6412 9203 9618 12824 18406 19236 27609 36812 38472 55218 64421 73624 110436 128842 193263 220872 257684 386526 515368 773052 1546104 2107487 4214974 6322461 8429948 12644922 14752409 16859896 25289844 29504818 44257227 50579688 59009636 88514454 118019272 177028908 354057816