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3740254056 = 23367118329
BaseRepresentation
bin1101111011101111…
…1011111101101000
3100122122221121000000
43132323323331220
530130001112211
61415050343000
7161454430530
oct33673737550
910578847000
103740254056
11164a304260
1288472aa60
13477b78ca6
14276a5c4c0
1516d568656
hexdeefbf68

3740254056 has 224 divisors, whose sum is σ = 13110753600. Its totient is φ = 971377920.

The previous prime is 3740254051. The next prime is 3740254073. The reversal of 3740254056 is 6504520473.

It is a super-2 number, since 2×37402540562 = 27979000806848902272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3740254056.

It is not an unprimeable number, because it can be changed into a prime (3740254051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 444900 + ... + 453228.

It is an arithmetic number, because the mean of its divisors is an integer number (58530150).

Almost surely, 23740254056 is an apocalyptic number.

3740254056 is a gapful number since it is divisible by the number (36) 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 3740254056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555376800).

3740254056 is an abundant number, since it is smaller than the sum of its proper divisors (9370499544).

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

3740254056 is a wasteful number, since it uses less digits than its factorization.

3740254056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3740254056 is about 61157.6165003183. The cubic root of 3740254056 is about 1552.2691780340.

The spelling of 3740254056 in words is "three billion, seven hundred forty million, two hundred fifty-four thousand, fifty-six".