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3423735000 = 23335473623
BaseRepresentation
bin1100110000010010…
…0000110011011000
322211121100202111000
43030010200303120
524002434010000
61323422305000
7150562160460
oct31404406330
98747322430
103423735000
1114a7677864
127b6728160
134274162ca
142469c8ba0
15150895000
hexcc120cd8

3423735000 has 320 divisors, whose sum is σ = 13585651200. Its totient is φ = 782352000.

The previous prime is 3423734999. The next prime is 3423735011. The reversal of 3423735000 is 5373243.

It is a super-2 number, since 2×34237350002 = 23443922700450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 943189 + ... + 946811.

It is an arithmetic number, because the mean of its divisors is an integer number (42455160).

Almost surely, 23423735000 is an apocalyptic number.

3423735000 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 3423735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792825600).

3423735000 is an abundant number, since it is smaller than the sum of its proper divisors (10161916200).

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

3423735000 is a wasteful number, since it uses less digits than its factorization.

3423735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3423735000 is about 58512.6909311134. The cubic root of 3423735000 is about 1507.1855238680.

The spelling of 3423735000 in words is "three billion, four hundred twenty-three million, seven hundred thirty-five thousand".