Search a number
-
+
390306294 = 232779113347
BaseRepresentation
bin10111010000111…
…001100111110110
31000012102121120200
4113100321213312
51244404300134
6102421341330
712446356140
oct2720714766
91005377520
10390306294
11190354994
12aa867846
1362b29291
1439b9dc90
15243eb499
hex174399f6

390306294 has 96 divisors (see below), whose sum is σ = 990213120. Its totient is φ = 108815616.

The previous prime is 390306223. The next prime is 390306307. The reversal of 390306294 is 492603093.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124629 + ... + 1124975.

It is an arithmetic number, because the mean of its divisors is an integer number (10314720).

Almost surely, 2390306294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390306294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495106560).

390306294 is an abundant number, since it is smaller than the sum of its proper divisors (599906826).

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

390306294 is a wasteful number, since it uses less digits than its factorization.

390306294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 390306294 is about 19756.1710359067. The cubic root of 390306294 is about 730.8055747016.

The spelling of 390306294 in words is "three hundred ninety million, three hundred six thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 113 126 158 226 237 339 347 474 553 678 694 711 791 1017 1041 1106 1422 1582 1659 2034 2082 2373 2429 3123 3318 4746 4858 4977 6246 7119 7287 8927 9954 14238 14574 17854 21861 26781 27413 39211 43722 53562 54826 62489 78422 80343 82239 117633 124978 160686 164478 187467 191891 235266 246717 274477 352899 374934 383782 493434 548954 562401 575673 705798 823431 1124802 1151346 1646862 1727019 2470293 3097669 3454038 4940586 6195338 9293007 18586014 21683683 27879021 43367366 55758042 65051049 130102098 195153147 390306294