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8347352640 = 2635113143593
BaseRepresentation
bin1111100011000101…
…00111111001000000
3210112202000110010220
413301202213321000
5114043410241030
63500144423040
7413566220034
oct76142477100
923482013126
108347352640
1135a3954650
12174b617a80
13a304b0323
145928861c4
1533cc5ea10
hex1f18a7e40

8347352640 has 448 divisors, whose sum is σ = 30590410752. Its totient is φ = 1909555200.

The previous prime is 8347352633. The next prime is 8347352641. The reversal of 8347352640 is 462537438.

It is a junction number, because it is equal to n+sod(n) for n = 8347352592 and 8347352601.

It is not an unprimeable number, because it can be changed into a prime (8347352641) 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, 14076184 + ... + 14076776.

Almost surely, 28347352640 is an apocalyptic number.

8347352640 is a gapful number since it is divisible by the number (80) 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 8347352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295205376).

8347352640 is an abundant number, since it is smaller than the sum of its proper divisors (22243058112).

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

8347352640 is a wasteful number, since it uses less digits than its factorization.

8347352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 8347352640 is about 91363.8475547084. The cubic root of 8347352640 is about 2028.5369383052.

The spelling of 8347352640 in words is "eight billion, three hundred forty-seven million, three hundred fifty-two thousand, six hundred forty".