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1347696672 = 253710718743
BaseRepresentation
bin101000001010100…
…0011100000100000
310110220221002021120
41100111003200200
510230002243142
6341421452240
745253142550
oct12025034040
93426832246
101347696672
11631815503
12317411080
13186297b6a
14cadb9160
157d4b27ec
hex50543820

1347696672 has 96 divisors (see below), whose sum is σ = 4081093632. Its totient is φ = 381437184.

The previous prime is 1347696643. The next prime is 1347696683. The reversal of 1347696672 is 2766967431.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62533 + ... + 81275.

It is an arithmetic number, because the mean of its divisors is an integer number (42511392).

Almost surely, 21347696672 is an apocalyptic number.

1347696672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040546816).

1347696672 is an abundant number, since it is smaller than the sum of its proper divisors (2733396960).

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

1347696672 is a wasteful number, since it uses less digits than its factorization.

1347696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18870 (or 18862 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 1347696672 is about 36710.9884367065. The cubic root of 1347696672 is about 1104.5805337847.

The spelling of 1347696672 in words is "one billion, three hundred forty-seven million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 5136 5992 8988 10272 11984 17976 18743 23968 35952 37486 56229 71904 74972 112458 131201 149944 224916 262402 299888 393603 449832 524804 599776 787206 899664 1049608 1574412 1799328 2005501 2099216 3148824 4011002 4198432 6016503 6297648 8022004 12033006 12595296 14038507 16044008 24066012 28077014 32088016 42115521 48132024 56154028 64176032 84231042 96264048 112308056 168462084 192528096 224616112 336924168 449232224 673848336 1347696672