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390300066 = 23313896247
BaseRepresentation
bin10111010000111…
…000000110100010
31000012102022001000
4113100320012202
51244404100231
6102421252430
712446332032
oct2720700642
91005368030
10390300066
11190350242
12aa864116
1362b264b0
1439b9b8c2
15243e96e6
hex174381a2

390300066 has 64 divisors (see below), whose sum is σ = 944697600. Its totient is φ = 118723968.

The previous prime is 390300061. The next prime is 390300089. The reversal of 390300066 is 660003093.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (390300061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59355 + ... + 65601.

It is an arithmetic number, because the mean of its divisors is an integer number (14760900).

Almost surely, 2390300066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390300066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472348800).

390300066 is an abundant number, since it is smaller than the sum of its proper divisors (554397534).

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

390300066 is a wasteful number, since it uses less digits than its factorization.

390300066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 390300066 is about 19756.0134136419. The cubic root of 390300066 is about 730.8016875994.

The spelling of 390300066 in words is "three hundred ninety million, three hundred thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 178 234 267 351 534 702 801 1157 1602 2314 2403 3471 4806 6247 6942 10413 12494 18741 20826 31239 37482 56223 62478 81211 112446 162422 168669 243633 337338 487266 555983 730899 1111966 1461798 1667949 2192697 3335898 4385394 5003847 7227779 10007694 14455558 15011541 21683337 30023082 43366674 65050011 130100022 195150033 390300066