Search a number
-
+
334034976 = 25311316321
BaseRepresentation
bin10011111010001…
…111100000100000
3212021112201211210
4103322033200200
51141003104401
653051310120
711164151622
oct2372174040
9767481753
10334034976
11161610470
1293a4b340
1354286542
1432512c12
151e4d34d6
hex13e8f820

334034976 has 48 divisors (see below), whose sum is σ = 956557728. Its totient is φ = 101222400.

The previous prime is 334034881. The next prime is 334034983. The reversal of 334034976 is 679430433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3340349762 = 223158730382641152, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 157105 + ... + 159216.

It is an arithmetic number, because the mean of its divisors is an integer number (19928286).

Almost surely, 2334034976 is an apocalyptic number.

It is an amenable number.

334034976 is an abundant number, since it is smaller than the sum of its proper divisors (622522752).

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

334034976 is a wasteful number, since it uses less digits than its factorization.

334034976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316345 (or 316337 counting only the distinct ones).

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

The square root of 334034976 is about 18276.6237582328. The cubic root of 334034976 is about 693.8474252593.

The spelling of 334034976 in words is "three hundred thirty-four million, thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 316321 632642 948963 1265284 1897926 2530568 3479531 3795852 5061136 6959062 7591704 10122272 10438593 13918124 15183408 20877186 27836248 30366816 41754372 55672496 83508744 111344992 167017488 334034976