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1313200434 = 237132698941
BaseRepresentation
bin100111001000101…
…1101100100110010
310101112000111100010
41032101131210302
510142134403214
6334150235350
744354006460
oct11621354462
93345014303
101313200434
116142a3a17
12307955b56
1317c0aa4a0
14c6599830
157a44b659
hex4e45d932

1313200434 has 64 divisors (see below), whose sum is σ = 3244872960. Its totient is φ = 345012480.

The previous prime is 1313200373. The next prime is 1313200477. The reversal of 1313200434 is 4340023131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1313200434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142404 + ... + 151344.

It is an arithmetic number, because the mean of its divisors is an integer number (50701140).

Almost surely, 21313200434 is an apocalyptic number.

1313200434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313200434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622436480).

1313200434 is an abundant number, since it is smaller than the sum of its proper divisors (1931672526).

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

1313200434 is a wasteful number, since it uses less digits than its factorization.

1313200434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1313200434 is about 36238.1074836973. The cubic root of 1313200434 is about 1095.0745163109.

Adding to 1313200434 its reverse (4340023131), we get a palindrome (5653223565).

The spelling of 1313200434 in words is "one billion, three hundred thirteen million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 269 273 538 546 807 1614 1883 3497 3766 5649 6994 8941 10491 11298 17882 20982 24479 26823 48958 53646 62587 73437 116233 125174 146874 187761 232466 348699 375522 697398 813631 1627262 2405129 2440893 4810258 4881786 7215387 14430774 16835903 31266677 33671806 50507709 62533354 93800031 101015418 187600062 218866739 437733478 656600217 1313200434