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3357623025 = 325238632
BaseRepresentation
bin1100100000100001…
…0100001011110001
322122222221220220100
43020020110023301
523334022414100
61313101303013
7146130216261
oct31010241361
98588856810
103357623025
111473321969
12798564a69
134168093b3
1423bcd97a1
15149b86400
hexc82142f1

3357623025 has 27 divisors (see below), whose sum is σ = 6015433099. Its totient is φ = 1790268720.

The previous prime is 3357623023. The next prime is 3357623033. The reversal of 3357623025 is 5203267533.

The square root of 3357623025 is 57945.

It is a perfect power (a square), and thus also a powerful number.

3357623025 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 623 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1208744289 + 2148878736 = 34767^2 + 46356^2 .

It is not a de Polignac number, because 3357623025 - 21 = 3357623023 is a prime.

It is a super-2 number, since 2×33576230252 = 22547264756020301250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3357623023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 867244 + ... + 871106.

Almost surely, 23357623025 is an apocalyptic number.

3357623025 is the 57945-th square number.

3357623025 is the 28973-rd centered octagonal number.

It is an amenable number.

3357623025 is a deficient number, since it is larger than the sum of its proper divisors (2657810074).

3357623025 is an frugal number, since it uses more digits than its factorization.

3357623025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The cubic root of 3357623025 is about 1497.4212024093.

Multiplying 3357623025 by its sum of digits (36), we get a square (120874428900 = 3476702).

The spelling of 3357623025 in words is "three billion, three hundred fifty-seven million, six hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3863 11589 19315 34767 57945 96575 173835 289725 869175 14922769 44768307 74613845 134304921 223841535 373069225 671524605 1119207675 3357623025