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2349344928 = 253717919531
BaseRepresentation
bin1000110000001000…
…0010100010100000
320001201201002101010
42030002002202200
514302413014203
61025042340520
7112135050060
oct21402024240
96051632333
102349344928
11aa6164687
1255695a740
132b5961338
141840353a0
15db3bc303
hex8c0828a0

2349344928 has 96 divisors (see below), whose sum is σ = 7087772160. Its totient is φ = 667457280.

The previous prime is 2349344923. The next prime is 2349344957. The reversal of 2349344928 is 8294439432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2349344923) 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, 110523 + ... + 130053.

It is an arithmetic number, because the mean of its divisors is an integer number (73830960).

Almost surely, 22349344928 is an apocalyptic number.

2349344928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2349344928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543886080).

2349344928 is an abundant number, since it is smaller than the sum of its proper divisors (4738427232).

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

2349344928 is a wasteful number, since it uses less digits than its factorization.

2349344928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19730 (or 19722 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 2349344928 is about 48470.0415514573. The cubic root of 2349344928 is about 1329.3793489853.

The spelling of 2349344928 in words is "two billion, three hundred forty-nine million, three hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 179 224 336 358 537 672 716 1074 1253 1432 2148 2506 2864 3759 4296 5012 5728 7518 8592 10024 15036 17184 19531 20048 30072 39062 40096 58593 60144 78124 117186 120288 136717 156248 234372 273434 312496 410151 468744 546868 624992 820302 937488 1093736 1640604 1874976 2187472 3281208 3496049 4374944 6562416 6992098 10488147 13124832 13984196 20976294 24472343 27968392 41952588 48944686 55936784 73417029 83905176 97889372 111873568 146834058 167810352 195778744 293668116 335620704 391557488 587336232 783114976 1174672464 2349344928