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2344994208 = 253261133481
BaseRepresentation
bin1000101111000101…
…1100010110100000
320001102112001022100
42023301130112200
514300304303313
61024405210400
7112053056544
oct21361342640
96042461270
102344994208
11aa3762947
12555400a00
132b4a99c4b
14183621a24
15dad0d173
hex8bc5c5a0

2344994208 has 72 divisors (see below), whose sum is σ = 6777948996. Its totient is φ = 768844800.

The previous prime is 2344994137. The next prime is 2344994243. The reversal of 2344994208 is 8024994432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2339850384 + 5143824 = 48372^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49173 + ... + 84308.

Almost surely, 22344994208 is an apocalyptic number.

It is an amenable number.

2344994208 is an abundant number, since it is smaller than the sum of its proper divisors (4432954788).

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

2344994208 is a wasteful number, since it uses less digits than its factorization.

2344994208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133558 (or 133547 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2344994208 is about 48425.1402476028. The cubic root of 2344994208 is about 1328.5582220381.

The spelling of 2344994208 in words is "two billion, three hundred forty-four million, nine hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 133481 266962 400443 533924 800886 1067848 1201329 1601772 2135696 2402658 3203544 4271392 4805316 6407088 8142341 9610632 12814176 16284682 19221264 24427023 32569364 38442528 48854046 65138728 73281069 97708092 130277456 146562138 195416184 260554912 293124276 390832368 586248552 781664736 1172497104 2344994208