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244357074 = 23413294001
BaseRepresentation
bin11101001000010…
…01011111010010
3122000210121220000
432210021133102
51000023411244
640125230430
76025000203
oct1644113722
9560717800
10244357074
11115a2a0a5
1269a02416
133b8180b0
142464b5aa
15166bc169
hexe9097d2

244357074 has 80 divisors (see below), whose sum is σ = 610144920. Its totient is φ = 72576000.

The previous prime is 244357039. The next prime is 244357093. The reversal of 244357074 is 470753442.

244357074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 102151449 + 142205625 = 10107^2 + 11925^2 .

It is a super-2 number, since 2×2443570742 = 119420759227682952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59074 + ... + 63074.

Almost surely, 2244357074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244357074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305072460).

244357074 is an abundant number, since it is smaller than the sum of its proper divisors (365787846).

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

244357074 is a wasteful number, since it uses less digits than its factorization.

244357074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 244357074 is about 15631.9248334938. The cubic root of 244357074 is about 625.1846485891.

The spelling of 244357074 in words is "two hundred forty-four million, three hundred fifty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 754 783 1053 1131 1566 2106 2262 2349 3393 4001 4698 6786 8002 10179 12003 20358 24006 30537 36009 52013 61074 72018 104026 108027 116029 156039 216054 232058 312078 324081 348087 468117 648162 696174 936234 1044261 1404351 1508377 2088522 2808702 3016754 3132783 4213053 4525131 6265566 8426106 9050262 9398349 13575393 18796698 27150786 40726179 81452358 122178537 244357074