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1311649344 = 263219119851
BaseRepresentation
bin100111000101110…
…0010111001000000
310101102002200122100
41032023202321000
510141240234334
6334053110400
744334556365
oct11613427100
93342080570
101311649344
11613434625
12307328400
1317b986495
14c62b446c
157a241c99
hex4e2e2e40

1311649344 has 84 divisors (see below), whose sum is σ = 3957513040. Its totient is φ = 414201600.

The previous prime is 1311649333. The next prime is 1311649369. The reversal of 1311649344 is 4439461131.

1311649344 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 649 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1311649299 and 1311649308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48982 + ... + 70869.

Almost surely, 21311649344 is an apocalyptic number.

It is an amenable number.

1311649344 is an abundant number, since it is smaller than the sum of its proper divisors (2645863696).

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

1311649344 is a wasteful number, since it uses less digits than its factorization.

1311649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119888 (or 119875 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1311649344 is about 36216.6997944318. The cubic root of 1311649344 is about 1094.6431964405.

The spelling of 1311649344 in words is "one billion, three hundred eleven million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 119851 239702 359553 479404 719106 958808 1078659 1438212 1917616 2157318 2277169 2876424 3835232 4314636 4554338 5752848 6831507 7670464 8629272 9108676 11505696 13663014 17258544 18217352 20494521 23011392 27326028 34517088 36434704 40989042 54652056 69034176 72869408 81978084 109304112 145738816 163956168 218608224 327912336 437216448 655824672 1311649344