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334090944 = 26321167787
BaseRepresentation
bin10011111010011…
…101001011000000
3212021122120121200
4103322131023000
51141011402234
653052421200
711164504035
oct2372351300
9767576550
10334090944
11161649520
1293a77800
13542a5b65
143252938c
151e4e4d99
hex13e9d2c0

334090944 has 168 divisors, whose sum is σ = 1061606208. Its totient is φ = 99601920.

The previous prime is 334090891. The next prime is 334090963. The reversal of 334090944 is 449090433.

It is a super-2 number, since 2×3340909442 = 223233517725622272, which contains 22 as substring.

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 = 334090899 and 334090908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424119 + ... + 424905.

Almost surely, 2334090944 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 334090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530803104).

334090944 is an abundant number, since it is smaller than the sum of its proper divisors (727515264).

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

334090944 is a wasteful number, since it uses less digits than its factorization.

334090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 334090944 is about 18278.1548302885. The cubic root of 334090944 is about 693.8861747784.

The spelling of 334090944 in words is "three hundred thirty-four million, ninety thousand, nine hundred forty-four".