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374630920 = 23537269941
BaseRepresentation
bin10110010101000…
…110101000001000
3222002221020000021
4112111012220020
51231401142140
6101101350224
712166211266
oct2625065010
9862836007
10374630920
11182518834
12a5568374
135c7cb401
1437a7d436
1522d51b4a
hex16546a08

374630920 has 64 divisors (see below), whose sum is σ = 869842800. Its totient is φ = 145105920.

The previous prime is 374630891. The next prime is 374630941. The reversal of 374630920 is 29036473.

It can be written as a sum of positive squares in 8 ways, for example, as 170198116 + 204432804 = 13046^2 + 14298^2 .

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, 397650 + ... + 398590.

Almost surely, 2374630920 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 374630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434921400).

374630920 is an abundant number, since it is smaller than the sum of its proper divisors (495211880).

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

374630920 is a wasteful number, since it uses less digits than its factorization.

374630920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 374630920 is about 19355.3847804687. The cubic root of 374630920 is about 720.8881272866. Note that the first 3 decimals are identical.

The spelling of 374630920 in words is "three hundred seventy-four million, six hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 269 296 370 538 740 941 1076 1345 1480 1882 2152 2690 3764 4705 5380 7528 9410 9953 10760 18820 19906 34817 37640 39812 49765 69634 79624 99530 139268 174085 199060 253129 278536 348170 398120 506258 696340 1012516 1265645 1392680 2025032 2531290 5062580 9365773 10125160 18731546 37463092 46828865 74926184 93657730 187315460 374630920