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354975930 = 232512973041
BaseRepresentation
bin10101001010001…
…000000010111010
3220201221122102200
4111022020002322
51211333212210
655120211030
711540150151
oct2512100272
9821848380
10354975930
11172413741
129aa69a76
135870903a
1435204598
152126d0c0
hex152880ba

354975930 has 48 divisors (see below), whose sum is σ = 923952744. Its totient is φ = 94556160.

The previous prime is 354975899. The next prime is 354975953. The reversal of 354975930 is 39579453.

354975930 is a `hidden beast` number, since 3 + 54 + 9 + 7 + 593 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337861161 + 17114769 = 18381^2 + 4137^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 115210 + ... + 118250.

Almost surely, 2354975930 is an apocalyptic number.

354975930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

354975930 is an abundant number, since it is smaller than the sum of its proper divisors (568976814).

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

354975930 is a wasteful number, since it uses less digits than its factorization.

354975930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 354975930 is about 18840.8049191111. The cubic root of 354975930 is about 708.0538717028.

The spelling of 354975930 in words is "three hundred fifty-four million, nine hundred seventy-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1297 2594 3041 3891 6082 6485 7782 9123 11673 12970 15205 18246 19455 23346 27369 30410 38910 45615 54738 58365 91230 116730 136845 273690 3944177 7888354 11832531 19720885 23665062 35497593 39441770 59162655 70995186 118325310 177487965 354975930