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3425563240 = 2351121723179
BaseRepresentation
bin1100110000101101…
…1111001001101000
322211201210122100121
43030023133021220
524003421010430
61323525413024
7150613543561
oct31413371150
98751718317
103425563240
1114a8706400
127b726a174
134279064c8
14246d43168
15150b06a7a
hexcc2df268

3425563240 has 288 divisors, whose sum is σ = 9407462400. Its totient is φ = 1120204800.

The previous prime is 3425563237. The next prime is 3425563261. The reversal of 3425563240 is 423655243.

3425563240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34255632402 = 23468967022478595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3425563196 and 3425563205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43361521 + ... + 43361599.

It is an arithmetic number, because the mean of its divisors is an integer number (32664800).

Almost surely, 23425563240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703731200).

3425563240 is an abundant number, since it is smaller than the sum of its proper divisors (5981899160).

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

3425563240 is a wasteful number, since it uses less digits than its factorization.

3425563240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 3425563240 is about 58528.3114398493. The cubic root of 3425563240 is about 1507.4537500925.

It can be divided in two parts, 3425 and 563240, that added together give a palindrome (566665).

The spelling of 3425563240 in words is "three billion, four hundred twenty-five million, five hundred sixty-three thousand, two hundred forty".