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3450230784 = 2113271121317
BaseRepresentation
bin1100110110100110…
…0101100000000000
322220110012212212100
43031221211200000
524031224341114
61330210230400
7151333322610
oct31551454000
98813185770
103450230784
111510624500
12803585400
1342ca622a0
1424a324a40
15152d7a909
hexcda65800

3450230784 has 864 divisors, whose sum is σ = 14273794080. Its totient is φ = 778567680.

The previous prime is 3450230783. The next prime is 3450230789. The reversal of 3450230784 is 4870320543.

It is a happy number.

3450230784 is a `hidden beast` number, since 345 + 0 + 2 + 307 + 8 + 4 = 666.

It is a super-2 number, since 2×34502307842 = 23808184925722509312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450230783) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202954744 + ... + 202954760.

It is an arithmetic number, because the mean of its divisors is an integer number (16520595).

Almost surely, 23450230784 is an apocalyptic number.

3450230784 is a gapful number since it is divisible by the number (34) 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 3450230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

3450230784 is an abundant number, since it is smaller than the sum of its proper divisors (10823563296).

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

3450230784 is a wasteful number, since it uses less digits than its factorization.

3450230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3450230784 is about 58738.6651533724. The cubic root of 3450230784 is about 1511.0635000250.

The spelling of 3450230784 in words is "three billion, four hundred fifty million, two hundred thirty thousand, seven hundred eighty-four".