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1374320640 = 21135721183
BaseRepresentation
bin101000111101010…
…0111100000000000
310112210000201111110
41101322213200000
510303311230030
6344212243320
746025350500
oct12172474000
93483021443
101374320640
1164584a490
12324310540
1318b95a2a4
14d0749a00
15809c11b0
hex51ea7800

1374320640 has 576 divisors, whose sum is σ = 5646775680. Its totient is φ = 282132480.

The previous prime is 1374320639. The next prime is 1374320653. The reversal of 1374320640 is 460234731.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1374320598 and 1374320607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16558039 + ... + 16558121.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 21374320640 is an apocalyptic number.

1374320640 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 1374320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

1374320640 is an abundant number, since it is smaller than the sum of its proper divisors (4272455040).

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

1374320640 is a wasteful number, since it uses less digits than its factorization.

1374320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1374320640 is about 37071.8308153239. The cubic root of 1374320640 is about 1111.8068777677.

The spelling of 1374320640 in words is "one billion, three hundred seventy-four million, three hundred twenty thousand, six hundred forty".