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1374194304 = 27327198969
BaseRepresentation
bin101000111101000…
…1000101010000000
310112202210022012100
41101322020222000
510303243204204
6344205430400
746024313250
oct12172105200
93482708170
101374194304
1164577357a
1232426b400
1318b914932
14d0715960
1580998a39
hex51e88a80

1374194304 has 192 divisors, whose sum is σ = 4757688000. Its totient is φ = 371920896.

The previous prime is 1374194299. The next prime is 1374194309. The reversal of 1374194304 is 4034914731.

It is an interprime number because it is at equal distance from previous prime (1374194299) and next prime (1374194309).

It is a tau number, because it is divible by the number of its divisors (192).

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 (1374194309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148732 + ... + 157700.

It is an arithmetic number, because the mean of its divisors is an integer number (24779625).

Almost surely, 21374194304 is an apocalyptic number.

1374194304 is a gapful number since it is divisible by the number (14) 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 1374194304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378844000).

1374194304 is an abundant number, since it is smaller than the sum of its proper divisors (3383493696).

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

1374194304 is a wasteful number, since it uses less digits than its factorization.

1374194304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1374194304 is about 37070.1268408944. The cubic root of 1374194304 is about 1111.7728086832.

The spelling of 1374194304 in words is "one billion, three hundred seventy-four million, one hundred ninety-four thousand, three hundred four".