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334469136 = 24343347467
BaseRepresentation
bin10011111011111…
…001100000010000
3212022100210101210
4103323321200100
51141111003021
653104500120
711200640451
oct2373714020
9768323353
10334469136
11161887681
129401a640
13543a9041
14325c7128
151e56be76
hex13ef9810

334469136 has 80 divisors (see below), whose sum is σ = 888585984. Its totient is φ = 108350592.

The previous prime is 334469129. The next prime is 334469147. The reversal of 334469136 is 631964433.

334469136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344691362 = 223739205873172992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334469094 and 334469103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715975 + ... + 716441.

Almost surely, 2334469136 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 334469136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444292992).

334469136 is an abundant number, since it is smaller than the sum of its proper divisors (554116848).

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

334469136 is a wasteful number, since it uses less digits than its factorization.

334469136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 334469136 is about 18288.4973685648. The cubic root of 334469136 is about 694.1479031553.

The spelling of 334469136 in words is "three hundred thirty-four million, four hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 347 467 516 688 694 934 1032 1041 1388 1401 1868 2064 2082 2776 2802 3736 4164 5552 5604 7472 8328 11208 14921 16656 20081 22416 29842 40162 44763 59684 60243 80324 89526 119368 120486 160648 162049 179052 238736 240972 321296 324098 358104 481944 486147 648196 716208 963888 972294 1296392 1944588 2592784 3889176 6968107 7778352 13936214 20904321 27872428 41808642 55744856 83617284 111489712 167234568 334469136