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2344013375 = 531119234783
BaseRepresentation
bin1000101110110110…
…1100111000111111
320001100200012212012
42023231230320333
514300031412000
61024332201435
7112041533144
oct21355547077
96040605765
102344013375
11aa3152a40
1255500927b
132b4815682
141834483cb
15dabb7735
hex8bb6ce3f

2344013375 has 128 divisors (see below), whose sum is σ = 3622993920. Its totient is φ = 1493712000.

The previous prime is 2344013359. The next prime is 2344013393. The reversal of 2344013375 is 5733104432.

It is not a de Polignac number, because 2344013375 - 24 = 2344013359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28241084 + ... + 28241166.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 22344013375 is an apocalyptic number.

2344013375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2344013375 is a deficient number, since it is larger than the sum of its proper divisors (1278980545).

2344013375 is a wasteful number, since it uses less digits than its factorization.

2344013375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 2344013375 is about 48415.0118764831. The cubic root of 2344013375 is about 1328.3729656503.

The spelling of 2344013375 in words is "two billion, three hundred forty-four million, thirteen thousand, three hundred seventy-five".

Divisors: 1 5 11 19 23 25 47 55 83 95 115 125 209 235 253 275 415 437 475 517 575 893 913 1045 1081 1175 1265 1375 1577 1909 2075 2185 2375 2585 2875 3901 4465 4565 4807 5225 5405 5875 6325 7885 9545 9823 10375 10925 11891 12925 17347 19505 20539 20999 22325 22825 24035 26125 27025 31625 36271 39425 42911 47725 49115 54625 59455 64625 74119 86735 89723 97525 102695 104995 111625 114125 120175 135125 181355 197125 214555 225929 238625 245575 297275 370595 398981 433675 448615 487625 513475 524975 600875 815309 906775 986953 1072775 1129645 1227875 1486375 1704737 1852975 1994905 2168375 2243075 2567375 2624875 4076545 4533875 4934765 5363875 5648225 8523685 9264875 9974525 11215375 18752107 20382725 24673825 28241125 42618425 49872625 93760535 101913625 123369125 213092125 468802675 2344013375