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1340313504 = 253193891889
BaseRepresentation
bin100111111100011…
…1000111110100000
310110102000222110220
41033320320332200
510221110013004
6340555323040
745133322355
oct11770707640
93412028426
101340313504
11628632412
12314a50480
131848b141a
14ca01662c
157ca04dd9
hex4fe38fa0

1340313504 has 96 divisors (see below), whose sum is σ = 3714984000. Its totient is φ = 421945344.

The previous prime is 1340313461. The next prime is 1340313563. The reversal of 1340313504 is 4053130431.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708592 + ... + 710480.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 21340313504 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 1340313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

1340313504 is an abundant number, since it is smaller than the sum of its proper divisors (2374670496).

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

1340313504 is a wasteful number, since it uses less digits than its factorization.

1340313504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1340313504 is about 36610.2923233344. The cubic root of 1340313504 is about 1102.5597423419.

Adding to 1340313504 its reverse (4053130431), we get a palindrome (5393443935).

The spelling of 1340313504 in words is "one billion, three hundred forty million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 389 456 608 778 912 1167 1556 1824 1889 2334 3112 3778 4668 5667 6224 7391 7556 9336 11334 12448 14782 15112 18672 22173 22668 29564 30224 35891 37344 44346 45336 59128 60448 71782 88692 90672 107673 118256 143564 177384 181344 215346 236512 287128 354768 430692 574256 709536 734821 861384 1148512 1469642 1722768 2204463 2939284 3445536 4408926 5878568 8817852 11757136 13961599 17635704 23514272 27923198 35271408 41884797 55846396 70542816 83769594 111692792 167539188 223385584 335078376 446771168 670156752 1340313504