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30817217340 = 22335713627131
BaseRepresentation
bin11100101100110110…
…010110101100111100
32221112201000211211000
4130230312112230330
51001103201423330
622053543530300
72140452011460
oct345466265474
987481024730
1030817217340
1112084574568
125b80759990
132ba1795960
1416c4bb64a0
15c05752560
hex72cd96b3c

30817217340 has 192 divisors, whose sum is σ = 118001157120. Its totient is φ = 6502083840.

The previous prime is 30817217317. The next prime is 30817217351. The reversal of 30817217340 is 4371271803.

30817217340 is a `hidden beast` number, since 308 + 1 + 7 + 2 + 1 + 7 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30817217295 and 30817217304.

It is a congruent number.

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, 264426 + ... + 362705.

It is an arithmetic number, because the mean of its divisors is an integer number (614589360).

Almost surely, 230817217340 is an apocalyptic number.

30817217340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30817217340 is an abundant number, since it is smaller than the sum of its proper divisors (87183939780).

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

30817217340 is a wasteful number, since it uses less digits than its factorization.

30817217340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627169 (or 627161 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 30817217340 in words is "thirty billion, eight hundred seventeen million, two hundred seventeen thousand, three hundred forty".