Search a number
-
+
379634304 = 2737141233
BaseRepresentation
bin10110101000001…
…100001010000000
3222110100102100210
4112220030022000
51234141244204
6101400514120
712256560360
oct2650141200
9873312323
10379634304
11185325965
12a717b940
13608608aa
14385c29a0
15234de389
hex16a0c280

379634304 has 64 divisors (see below), whose sum is σ = 1152469440. Its totient is φ = 108466176.

The previous prime is 379634303. The next prime is 379634323. The reversal of 379634304 is 403436973.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (379634303) 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, 67929 + ... + 73304.

It is an arithmetic number, because the mean of its divisors is an integer number (18007335).

Almost surely, 2379634304 is an apocalyptic number.

It is an amenable number.

379634304 is an abundant number, since it is smaller than the sum of its proper divisors (772835136).

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

379634304 is a wasteful number, since it uses less digits than its factorization.

379634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141257 (or 141245 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 379634304 is about 19484.2065273390. The cubic root of 379634304 is about 724.0832194767.

The spelling of 379634304 in words is "three hundred seventy-nine million, six hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 141233 282466 423699 564932 847398 988631 1129864 1694796 1977262 2259728 2965893 3389592 3954524 4519456 5931786 6779184 7909048 9038912 11863572 13558368 15818096 18077824 23727144 27116736 31636192 47454288 54233472 63272384 94908576 126544768 189817152 379634304