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3425063400 = 23335211232109
BaseRepresentation
bin1100110000100110…
…0101000111101000
322211200212020201000
43030021211013220
524003304012100
61323510555000
7150606362403
oct31411450750
98750766630
103425063400
1114a83a4910
127b7068a60
1342778cb45
14246c52d3a
15150a58900
hexcc2651e8

3425063400 has 576 divisors, whose sum is σ = 13577256000. Its totient is φ = 786931200.

The previous prime is 3425063393. The next prime is 3425063401. The reversal of 3425063400 is 43605243.

3425063400 is a `hidden beast` number, since 3 + 4 + 25 + 0 + 634 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3425063401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31422546 + ... + 31422654.

It is an arithmetic number, because the mean of its divisors is an integer number (23571625).

Almost surely, 23425063400 is an apocalyptic number.

3425063400 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 3425063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788628000).

3425063400 is an abundant number, since it is smaller than the sum of its proper divisors (10152192600).

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

3425063400 is a wasteful number, since it uses less digits than its factorization.

3425063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3425063400 is about 58524.0412138465. The cubic root of 3425063400 is about 1507.3804266436.

Adding to 3425063400 its reverse (43605243), we get a palindrome (3468668643).

The spelling of 3425063400 in words is "three billion, four hundred twenty-five million, sixty-three thousand, four hundred".