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354107628 = 223275326513
BaseRepresentation
bin10101000110110…
…100000011101100
3220200022112100100
4111012310003230
51211122421003
655045431100
711526602520
oct2506640354
9820275310
10354107628
11171980336
129a70b490
1358493a54
1435059d80
152114aba3
hex151b40ec

354107628 has 72 divisors (see below), whose sum is σ = 1042318368. Its totient is φ = 99260928.

The previous prime is 354107627. The next prime is 354107639. The reversal of 354107628 is 826701453.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354107592 and 354107601.

It is not an unprimeable number, because it can be changed into a prime (354107627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100 + ... + 26612.

It is an arithmetic number, because the mean of its divisors is an integer number (14476644).

Almost surely, 2354107628 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 354107628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521159184).

354107628 is an abundant number, since it is smaller than the sum of its proper divisors (688210740).

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

354107628 is a wasteful number, since it uses less digits than its factorization.

354107628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26583 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 354107628 is about 18817.7476866919. The cubic root of 354107628 is about 707.4760798848.

The spelling of 354107628 in words is "three hundred fifty-four million, one hundred seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 26513 53026 79539 106052 159078 185591 238617 318156 371182 477234 556773 742364 954468 1113546 1405189 1670319 2227092 2810378 3340638 4215567 5620756 6681276 8431134 9836323 12646701 16862268 19672646 25293402 29508969 39345292 50586804 59017938 88526907 118035876 177053814 354107628