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3409976025 = 32521722292
BaseRepresentation
bin1100101101000000…
…0001101011011001
322210122110201201100
43023100001223121
523440423213100
61322211342013
7150334214031
oct31320015331
98718421640
103409976025
11149a92a505
127b1bb1909
134246097c1
14244c468c1
1514e578400
hexcb401ad9

3409976025 has 81 divisors (see below), whose sum is σ = 6516508791. Its totient is φ = 1704199680.

The previous prime is 3409975979. The next prime is 3409976057. The reversal of 3409976025 is 5206799043.

It is a happy number.

The square root of 3409976025 is 58395.

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

3409976025 is a `hidden beast` number, since 34 + 0 + 9 + 9 + 7 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 42263001 + 3367713024 = 6501^2 + 58032^2 .

It is not a de Polignac number, because 3409976025 - 217 = 3409844953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14890611 + ... + 14890839.

Almost surely, 23409976025 is an apocalyptic number.

3409976025 is the 58395-th square number.

3409976025 is the 29198-th centered octagonal number.

It is an amenable number.

3409976025 is a deficient number, since it is larger than the sum of its proper divisors (3106532766).

3409976025 is a wasteful number, since it uses less digits than its factorization.

3409976025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The cubic root of 3409976025 is about 1505.1638361317.

The spelling of 3409976025 in words is "three billion, four hundred nine million, nine hundred seventy-six thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 229 255 289 425 687 765 867 1145 1275 1445 2061 2601 3435 3825 3893 4335 5725 7225 10305 11679 13005 17175 19465 21675 35037 51525 52441 58395 65025 66181 97325 157323 175185 198543 262205 291975 330905 471969 595629 786615 875925 891497 992715 1311025 1654525 2359845 2674491 2978145 3933075 4457485 4963575 8023473 11799225 13372455 14890725 15155449 22287425 40117365 45466347 66862275 75777245 136399041 200586825 227331735 378886225 681995205 1136658675 3409976025