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306357996 = 2237731
BaseRepresentation
bin10010010000101…
…010011011101100
3210100110121011110
4102100222123230
51111411423441
650222152020
710410000000
oct2220523354
9710417143
10306357996
11147a2732a
1286722610
134b615a29
142c98a700
151bd67b16
hex1242a6ec

306357996 has 96 divisors (see below), whose sum is σ = 860876800. Its totient is φ = 84707280.

The previous prime is 306357983. The next prime is 306358057. The reversal of 306357996 is 699753603.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9882501 + ... + 9882531.

Almost surely, 2306357996 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 306357996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430438400).

306357996 is an abundant number, since it is smaller than the sum of its proper divisors (554518804).

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

306357996 is an frugal number, since it uses more digits than its factorization.

306357996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 306357996 is about 17503.0853280215. The cubic root of 306357996 is about 674.1290979483.

The spelling of 306357996 in words is "three hundred six million, three hundred fifty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 434 588 651 686 868 1029 1302 1372 1519 2058 2401 2604 3038 4116 4557 4802 6076 7203 9114 9604 10633 14406 16807 18228 21266 28812 31899 33614 42532 50421 63798 67228 74431 100842 117649 127596 148862 201684 223293 235298 297724 352947 446586 470596 521017 705894 823543 893172 1042034 1411788 1563051 1647086 2084068 2470629 3126102 3294172 3647119 4941258 6252204 7294238 9882516 10941357 14588476 21882714 25529833 43765428 51059666 76589499 102119332 153178998 306357996