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3916426320 = 24325371131301
BaseRepresentation
bin1110100101101111…
…1110110001010000
3101002221110001220200
43221123332301100
531010101120240
61444342335200
7166024034352
oct35133766120
911087401820
103916426320
11172a7a2074
1291372a500
134a550c831
142921db0d2
1517dc67930
hexe96fec50

3916426320 has 240 divisors, whose sum is σ = 13638158352. Its totient is φ = 1006387200.

The previous prime is 3916426309. The next prime is 3916426321. The reversal of 3916426320 is 236246193.

3916426320 is a `hidden beast` number, since 3 + 9 + 1 + 642 + 6 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1044323856 + 2872102464 = 32316^2 + 53592^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (3916426321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3009670 + ... + 3010970.

Almost surely, 23916426320 is an apocalyptic number.

3916426320 is a gapful number since it is divisible by the number (30) 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 3916426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819079176).

3916426320 is an abundant number, since it is smaller than the sum of its proper divisors (9721732032).

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

3916426320 is a wasteful number, since it uses less digits than its factorization.

3916426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3916426320 is about 62581.3576075176. The cubic root of 3916426320 is about 1576.2677381884.

The spelling of 3916426320 in words is "three billion, nine hundred sixteen million, four hundred twenty-six thousand, three hundred twenty".