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390706896 = 24383281349
BaseRepresentation
bin10111010010011…
…011011011010000
31000020011222002210
4113102123123100
51300010110041
6102434112120
712452645106
oct2722333320
91006158083
10390706896
111905a8968
12aaa1b640
1362c39718
1439c65c76
152447a016
hex1749b6d0

390706896 has 80 divisors (see below), whose sum is σ = 1028059200. Its totient is φ = 127841280.

The previous prime is 390706889. The next prime is 390706907. The reversal of 390706896 is 698607093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119330 + ... + 1119678.

It is an arithmetic number, because the mean of its divisors is an integer number (12850740).

Almost surely, 2390706896 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 390706896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514029600).

390706896 is an abundant number, since it is smaller than the sum of its proper divisors (637352304).

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

390706896 is a wasteful number, since it uses less digits than its factorization.

390706896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 390706896 is about 19766.3070906024. The cubic root of 390706896 is about 731.0555169263.

The spelling of 390706896 in words is "three hundred ninety million, seven hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 281 332 349 498 562 664 698 843 996 1047 1124 1328 1396 1686 1992 2094 2248 2792 3372 3984 4188 4496 5584 6744 8376 13488 16752 23323 28967 46646 57934 69969 86901 93292 98069 115868 139938 173802 186584 196138 231736 279876 294207 347604 373168 392276 463472 559752 588414 695208 784552 1119504 1176828 1390416 1569104 2353656 4707312 8139727 16279454 24419181 32558908 48838362 65117816 97676724 130235632 195353448 390706896