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1337007312 = 24329284773
BaseRepresentation
bin100111110110001…
…0001110011010000
310110011211000020100
41033230101303100
510214233213222
6340400412400
745063242334
oct11754216320
93404730210
101337007312
11626784423
12313917100
13183cc45b4
14c97d57c4
157c5a04ac
hex4fb11cd0

1337007312 has 30 divisors (see below), whose sum is σ = 3741763922. Its totient is φ = 445669056.

The previous prime is 1337007293. The next prime is 1337007323. The reversal of 1337007312 is 2137007331.

It can be written as a sum of positive squares in only one way, i.e., 1155728016 + 181279296 = 33996^2 + 13464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4642243 + ... + 4642530.

Almost surely, 21337007312 is an apocalyptic number.

1337007312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1337007312 is an abundant number, since it is smaller than the sum of its proper divisors (2404756610).

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

1337007312 is a wasteful number, since it uses less digits than its factorization.

1337007312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284787 (or 9284778 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 1337007312 is about 36565.1105837245. The cubic root of 1337007312 is about 1101.6524233686.

The spelling of 1337007312 in words is "one billion, three hundred thirty-seven million, seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9284773 18569546 27854319 37139092 55708638 74278184 83562957 111417276 148556368 167125914 222834552 334251828 445669104 668503656 1337007312