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334252144 = 24292572803
BaseRepresentation
bin10011111011000…
…100100001110000
3212021221202202001
4103323010201300
51141032032034
653100103344
711166045022
oct2373044160
9767852661
10334252144
11161749646
1293b34b54
1354331345
143256c012
151e527a14
hex13ec4870

334252144 has 40 divisors (see below), whose sum is σ = 672791760. Its totient is φ = 160677888.

The previous prime is 334252111. The next prime is 334252187. The reversal of 334252144 is 441252433.

It is a happy number.

It is a super-2 number, since 2×3342521442 = 223448991537193472, which contains 22 as substring.

It is a congruent number.

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, 117847 + ... + 120649.

It is an arithmetic number, because the mean of its divisors is an integer number (16819794).

Almost surely, 2334252144 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 334252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336395880).

334252144 is an abundant number, since it is smaller than the sum of its proper divisors (338539616).

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

334252144 is a wasteful number, since it uses less digits than its factorization.

334252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3091 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 334252144 is about 18282.5639339782. The cubic root of 334252144 is about 693.9977576355.

The spelling of 334252144 in words is "three hundred thirty-four million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 257 464 514 1028 2056 2803 4112 5606 7453 11212 14906 22424 29812 44848 59624 81287 119248 162574 325148 650296 720371 1300592 1440742 2881484 5762968 11525936 20890759 41781518 83563036 167126072 334252144