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1311308944 = 241128232
BaseRepresentation
bin100111000101000…
…1111110010010000
310101101110101200221
41032022033302100
510141143341234
6334041522424
744331641101
oct11612176220
93341411627
101311308944
11613221900
123071a3414
1317b89756a
14c62263a8
157a1c5eb4
hex4e28fc90

1311308944 has 45 divisors (see below), whose sum is σ = 2796024819. Its totient is φ = 595325280.

The previous prime is 1311308939. The next prime is 1311308993. The reversal of 1311308944 is 4498031131.

The square root of 1311308944 is 36212.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×13113089442 = 3439062293228790272, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1592917 + ... + 1593739.

Almost surely, 21311308944 is an apocalyptic number.

1311308944 is the 36212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311308944

1311308944 is an abundant number, since it is smaller than the sum of its proper divisors (1484715875).

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

1311308944 is an frugal number, since it uses more digits than its factorization.

1311308944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 1311308944 is about 1094.5484941014.

The spelling of 1311308944 in words is "one billion, three hundred eleven million, three hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 823 968 1646 1936 3292 6584 9053 13168 18106 36212 72424 99583 144848 199166 398332 677329 796664 1354658 1593328 2709316 5418632 7450619 10837264 14901238 29802476 59604952 81956809 119209904 163913618 327827236 655654472 1311308944