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1345444272 = 243231329851
BaseRepresentation
bin101000000110001…
…1101100110110000
310110202200122120100
41100030131212300
510223413204042
6341301312400
745225042024
oct12014354660
93422618510
101345444272
11630517217
12316705700
13185989893
14ca990384
157d1ba24c
hex5031d9b0

1345444272 has 60 divisors (see below), whose sum is σ = 3777531784. Its totient is φ = 447033600.

The previous prime is 1345444259. The next prime is 1345444333. The reversal of 1345444272 is 2724445431.

1345444272 is a `hidden beast` number, since 1 + 3 + 4 + 544 + 42 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30147 + ... + 59997.

Almost surely, 21345444272 is an apocalyptic number.

1345444272 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 1345444272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888765892).

1345444272 is an abundant number, since it is smaller than the sum of its proper divisors (2432087512).

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

1345444272 is a wasteful number, since it uses less digits than its factorization.

1345444272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30178 (or 30169 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 1345444272 is about 36680.2981449170. The cubic root of 1345444272 is about 1103.9648303226.

The spelling of 1345444272 in words is "one billion, three hundred forty-five million, four hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 11268 15024 22536 29851 45072 59702 89553 119404 179106 238808 268659 358212 477616 537318 716424 1074636 1432848 2149272 4298544 9343363 18686726 28030089 37373452 56060178 74746904 84090267 112120356 149493808 168180534 224240712 336361068 448481424 672722136 1345444272