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1640374272 = 21332191171
BaseRepresentation
bin110000111000110…
…0010000000000000
311020022122122110200
41201301202000000
511324413434042
6430434525200
755435644165
oct14161420000
94208578420
101640374272
11771a48519
12399436800
13201b00a84
14117c0406c
1599026c4c
hex61c62000

1640374272 has 168 divisors, whose sum is σ = 4992227760. Its totient is φ = 517570560.

The previous prime is 1640374261. The next prime is 1640374279. The reversal of 1640374272 is 2724730461.

1640374272 is a `hidden beast` number, since 1 + 640 + 3 + 7 + 4 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1640374279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1400247 + ... + 1401417.

Almost surely, 21640374272 is an apocalyptic number.

1640374272 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 1640374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496113880).

1640374272 is an abundant number, since it is smaller than the sum of its proper divisors (3351853488).

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

1640374272 is a wasteful number, since it uses less digits than its factorization.

1640374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1640374272 is about 40501.5341931636. The cubic root of 1640374272 is about 1179.3634103432.

The spelling of 1640374272 in words is "one billion, six hundred forty million, three hundred seventy-four thousand, two hundred seventy-two".