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1014341312 = 26174122739
BaseRepresentation
bin111100011101011…
…001111011000000
32121200122212200202
4330131121323000
54034132410222
6244352504332
734064521205
oct7435317300
92550585622
101014341312
11480629706
1224384b0a8
131321bba7a
1498a01cac
155e0b5892
hex3c759ec0

1014341312 has 56 divisors (see below), whose sum is σ = 2183312880. Its totient is φ = 465674240.

The previous prime is 1014341303. The next prime is 1014341369. The reversal of 1014341312 is 2131434101.

It is a super-4 number, since 4×10143413124 (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33239 + ... + 55977.

It is an arithmetic number, because the mean of its divisors is an integer number (38987730).

Almost surely, 21014341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091656440).

1014341312 is an abundant number, since it is smaller than the sum of its proper divisors (1168971568).

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

1014341312 is a wasteful number, since it uses less digits than its factorization.

1014341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22809 (or 22799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1014341312 is about 31848.7254376058. The cubic root of 1014341312 is about 1004.7577651051.

Adding to 1014341312 its reverse (2131434101), we get a palindrome (3145775413).

The spelling of 1014341312 in words is "one billion, fourteen million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 22304 22739 44608 45478 90956 181912 363824 386563 727648 773126 932299 1455296 1546252 1864598 3092504 3729196 6185008 7458392 12370016 14916784 15849083 24740032 29833568 31698166 59667136 63396332 126792664 253585328 507170656 1014341312