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390181068 = 223271293521
BaseRepresentation
bin10111010000011…
…011000011001100
31000012012020210200
4113100123003030
51244341243233
6102414533500
712445325064
oct2720330314
91005166720
10390181068
111902798a2
12aa807290
1362ab4294
1439b6a3a4
15243c4313
hex1741b0cc

390181068 has 72 divisors (see below), whose sum is σ = 1005522336. Its totient is φ = 127545600.

The previous prime is 390181067. The next prime is 390181111. The reversal of 390181068 is 860181093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (390181067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748648 + ... + 749168.

It is an arithmetic number, because the mean of its divisors is an integer number (13965588).

Almost surely, 2390181068 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 390181068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502761168).

390181068 is an abundant number, since it is smaller than the sum of its proper divisors (615341268).

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

390181068 is a wasteful number, since it uses less digits than its factorization.

390181068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 390181068 is about 19753.0014934440. The cubic root of 390181068 is about 730.7274090409.

The spelling of 390181068 in words is "three hundred ninety million, one hundred eighty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 293 426 521 586 639 852 879 1042 1172 1278 1563 1758 2084 2556 2637 3126 3516 4689 5274 6252 9378 10548 18756 20803 36991 41606 62409 73982 83212 110973 124818 147964 152653 187227 221946 249636 305306 332919 374454 443892 457959 610612 665838 748908 915918 1331676 1373877 1831836 2747754 5495508 10838363 21676726 32515089 43353452 65030178 97545267 130060356 195090534 390181068