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1340224272 = 24333102371
BaseRepresentation
bin100111111100010…
…0011001100010000
310110101212110002000
41033320203030100
510221044134042
6340553354000
745132501252
oct11770431420
93411773060
101340224272
11628581372
12314a08900
1318487c91a
14c9dd1cd2
157c9d874c
hex4fe23310

1340224272 has 40 divisors (see below), whose sum is σ = 3846941280. Its totient is φ = 446741280.

The previous prime is 1340224219. The next prime is 1340224273. The reversal of 1340224272 is 2724220431.

1340224272 is a `hidden beast` number, since 13 + 402 + 242 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1340224273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1550754 + ... + 1551617.

It is an arithmetic number, because the mean of its divisors is an integer number (96173532).

Almost surely, 21340224272 is an apocalyptic number.

1340224272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1340224272 is an abundant number, since it is smaller than the sum of its proper divisors (2506717008).

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

1340224272 is a wasteful number, since it uses less digits than its factorization.

1340224272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102388 (or 3102376 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1340224272 is about 36609.0736293613. The cubic root of 1340224272 is about 1102.5352739883.

The spelling of 1340224272 in words is "one billion, three hundred forty million, two hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3102371 6204742 9307113 12409484 18614226 24818968 27921339 37228452 49637936 55842678 74456904 83764017 111685356 148913808 167528034 223370712 335056068 446741424 670112136 1340224272