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3921040368 = 2432722337653
BaseRepresentation
bin1110100110110110…
…0101001111110000
3101010021010111012100
43221231211033300
531012241242433
61445025300400
7166111202400
oct35155451760
911107114170
103921040368
111732363733
12915194700
134a6466a3b
14292a7c800
1517e379b13
hexe9b653f0

3921040368 has 360 divisors, whose sum is σ = 13701007008. Its totient is φ = 1041030144.

The previous prime is 3921040367. The next prime is 3921040447. The reversal of 3921040368 is 8630401293.

3921040368 is a `hidden beast` number, since 39 + 210 + 403 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921040367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6004330 + ... + 6004982.

Almost surely, 23921040368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3921040368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850503504).

3921040368 is an abundant number, since it is smaller than the sum of its proper divisors (9779966640).

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

3921040368 is a wasteful number, since it uses less digits than its factorization.

3921040368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3921040368 is about 62618.2111529865. The cubic root of 3921040368 is about 1576.8865098368.

The spelling of 3921040368 in words is "three billion, nine hundred twenty-one million, forty thousand, three hundred sixty-eight".