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3497034816 = 2633111923421
BaseRepresentation
bin1101000001110000…
…1000010001000000
3100000201021202221000
43100130020101000
524130220103231
61335001332000
7152442206532
oct32034102100
910021252830
103497034816
111534a92020
12817197000
1343966ba92
14252629852
151570236e6
hexd0708440

3497034816 has 448 divisors, whose sum is σ = 12348057600. Its totient is φ = 958003200.

The previous prime is 3497034811. The next prime is 3497034829. The reversal of 3497034816 is 6184307943.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3497034811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8306286 + ... + 8306706.

Almost surely, 23497034816 is an apocalyptic number.

3497034816 is a gapful number since it is divisible by the number (36) 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 3497034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174028800).

3497034816 is an abundant number, since it is smaller than the sum of its proper divisors (8851022784).

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

3497034816 is a wasteful number, since it uses less digits than its factorization.

3497034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3497034816 is about 59135.7321422505. The cubic root of 3497034816 is about 1517.8656007493.

The spelling of 3497034816 in words is "three billion, four hundred ninety-seven million, thirty-four thousand, eight hundred sixteen".