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1304351136 = 253211411727
BaseRepresentation
bin100110110111110…
…1101000110100000
310100220100220101100
41031233231012200
510132403214021
6333232434400
744215541664
oct11557550640
93326326340
101304351136
1160a2aa350
123049a8a00
1317a2cc60a
14c53348a4
157979e626
hex4dbed1a0

1304351136 has 72 divisors (see below), whose sum is σ = 4046462784. Its totient is φ = 395256960.

The previous prime is 1304351131. The next prime is 1304351161. The reversal of 1304351136 is 6311534031.

1304351136 is a `hidden beast` number, since 1 + 304 + 351 + 1 + 3 + 6 = 666.

1304351136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1304351131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202696 + ... + 209031.

It is an arithmetic number, because the mean of its divisors is an integer number (56200872).

Almost surely, 21304351136 is an apocalyptic number.

1304351136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1304351136 is an abundant number, since it is smaller than the sum of its proper divisors (2742111648).

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

1304351136 is a wasteful number, since it uses less digits than its factorization.

1304351136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411754 (or 411743 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1304351136 is about 36115.8017493728. The cubic root of 1304351136 is about 1092.6091678234.

Adding to 1304351136 its reverse (6311534031), we get a palindrome (7615885167).

The spelling of 1304351136 in words is "one billion, three hundred four million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 411727 823454 1235181 1646908 2470362 3293816 3705543 4528997 4940724 6587632 7411086 9057994 9881448 13175264 13586991 14822172 18115988 19762896 27173982 29644344 36231976 39525792 40760973 54347964 59288688 72463952 81521946 108695928 118577376 144927904 163043892 217391856 326087784 434783712 652175568 1304351136