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1374628320 = 253451341199
BaseRepresentation
bin101000111101111…
…0010100111100000
310112210121100120000
41101323302213200
510303401101240
6344223020000
746031101512
oct12173624740
93483540500
101374628320
11645a3a66a
1232443a600
1318ba37350
14d07c9bb2
1580a32430
hex51ef29e0

1374628320 has 480 divisors, whose sum is σ = 5378788800. Its totient is φ = 328458240.

The previous prime is 1374628309. The next prime is 1374628363. The reversal of 1374628320 is 238264731.

It is a happy number.

1374628320 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 628 + 3 + 20 = 666.

1374628320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6907581 + ... + 6907779.

It is an arithmetic number, because the mean of its divisors is an integer number (11205810).

Almost surely, 21374628320 is an apocalyptic number.

1374628320 is a gapful number since it is divisible by the number (10) 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 1374628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689394400).

1374628320 is an abundant number, since it is smaller than the sum of its proper divisors (4004160480).

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

1374628320 is a wasteful number, since it uses less digits than its factorization.

1374628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1374628320 is about 37075.9803646512. The cubic root of 1374628320 is about 1111.8898412347.

The spelling of 1374628320 in words is "one billion, three hundred seventy-four million, six hundred twenty-eight thousand, three hundred twenty".