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356045085 = 335111912619
BaseRepresentation
bin10101001110001…
…101000100011101
3220210221222001000
4111032031010131
51212121420320
655155140513
711552222214
oct2516150435
9823858030
10356045085
11172a83a40
129b2a4739
13589c1886
143540207b
15213cec90
hex1538d11d

356045085 has 64 divisors (see below), whose sum is σ = 726912000. Its totient is φ = 163529280.

The previous prime is 356045077. The next prime is 356045089. The reversal of 356045085 is 580540653.

It is not a de Polignac number, because 356045085 - 23 = 356045077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356045089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21906 + ... + 34524.

It is an arithmetic number, because the mean of its divisors is an integer number (11358000).

Almost surely, 2356045085 is an apocalyptic number.

It is an amenable number.

356045085 is an abundant number, since it is smaller than the sum of its proper divisors (370866915).

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

356045085 is a wasteful number, since it uses less digits than its factorization.

356045085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12663 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 356045085 is about 18869.1569763993. The cubic root of 356045085 is about 708.7640236860.

The spelling of 356045085 in words is "three hundred fifty-six million, forty-five thousand, eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 165 171 209 285 297 495 513 627 855 1045 1485 1881 2565 3135 5643 9405 12619 28215 37857 63095 113571 138809 189285 239761 340713 416427 567855 694045 719283 1198805 1249281 1703565 2082135 2157849 2637371 3596415 3747843 6246405 6473547 7912113 10789245 13186855 18739215 23736339 32367735 39560565 71209017 118681695 356045085