Search a number
-
+
338572104 = 233131497283
BaseRepresentation
bin10100001011100…
…011001101001000
3212121002020121120
4110023203031020
51143133301404
653332435240
711250546453
oct2413431510
9777066546
10338572104
1116412a262
1295478b20
13551b4730
1432d7449a
151eacc9d9
hex142e3348

338572104 has 64 divisors (see below), whose sum is σ = 917784000. Its totient is φ = 103462656.

The previous prime is 338572103. The next prime is 338572127. The reversal of 338572104 is 401275833.

It is a super-2 number, since 2×3385721042 = 229262139213973632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338572103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42847 + ... + 50129.

It is an arithmetic number, because the mean of its divisors is an integer number (14340375).

Almost surely, 2338572104 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 338572104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458892000).

338572104 is an abundant number, since it is smaller than the sum of its proper divisors (579211896).

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

338572104 is a wasteful number, since it uses less digits than its factorization.

338572104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 338572104 is about 18400.3289101038. The cubic root of 338572104 is about 696.9747703789.

The spelling of 338572104 in words is "three hundred thirty-eight million, five hundred seventy-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 298 312 447 596 894 1192 1788 1937 3576 3874 5811 7283 7748 11622 14566 15496 21849 23244 29132 43698 46488 58264 87396 94679 174792 189358 284037 378716 568074 757432 1085167 1136148 2170334 2272296 3255501 4340668 6511002 8681336 13022004 14107171 26044008 28214342 42321513 56428684 84643026 112857368 169286052 338572104