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30936940320 = 253511134110993
BaseRepresentation
bin11100110011111111…
…000011111100100000
32221212001022101212110
4130303333003330200
51001324324042240
622113501555320
72143434440166
oct346377037440
987761271773
1030936940320
1112136107180
125bb4875b40
132bc0523760
1416d6a5d236
15c11000c80
hex733fc3f20

30936940320 has 384 divisors, whose sum is σ = 117291379968. Its totient is φ = 6753484800.

The previous prime is 30936940291. The next prime is 30936940367. The reversal of 30936940320 is 2304963903.

It is a Cunningham number, because it is equal to 1758892-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808744 + ... + 2819736.

It is an arithmetic number, because the mean of its divisors is an integer number (305446302).

Almost surely, 230936940320 is an apocalyptic number.

30936940320 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 30936940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58645689984).

30936940320 is an abundant number, since it is smaller than the sum of its proper divisors (86354439648).

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

30936940320 is a wasteful number, since it uses less digits than its factorization.

30936940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The spelling of 30936940320 in words is "thirty billion, nine hundred thirty-six million, nine hundred forty thousand, three hundred twenty".