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3496068000 = 25335332371
BaseRepresentation
bin1101000001100001…
…1100001110100000
3100000122110122201000
43100120130032200
524124443134000
61334524512000
7152431042035
oct32030341640
910018418630
103496068000
1115344916a7
128169ab600
134393c09b9
1425245738c
15156dd2000
hexd061c3a0

3496068000 has 192 divisors, whose sum is σ = 12726080640. Its totient is φ = 932256000.

The previous prime is 3496067977. The next prime is 3496068041. The reversal of 3496068000 is 8606943.

3496068000 is a `hidden beast` number, since 3 + 49 + 606 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91815 + ... + 124185.

It is an arithmetic number, because the mean of its divisors is an integer number (66281670).

Almost surely, 23496068000 is an apocalyptic number.

3496068000 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 3496068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363040320).

3496068000 is an abundant number, since it is smaller than the sum of its proper divisors (9230012640).

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

3496068000 is a wasteful number, since it uses less digits than its factorization.

3496068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32405 (or 32381 counting only the distinct ones).

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

The square root of 3496068000 is about 59127.5570271595. The cubic root of 3496068000 is about 1517.7257077556.

The spelling of 3496068000 in words is "three billion, four hundred ninety-six million, sixty-eight thousand".