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309944404 = 22731121867
BaseRepresentation
bin10010011110010…
…110000001010100
3210121012210210101
4102132112001110
51113321210104
650431103444
710452325000
oct2236260124
9717183711
10309944404
11149a56900
1287971b84
134c2a0273
142d241700
151c3255a4
hex12796054

309944404 has 72 divisors (see below), whose sum is σ = 695643200. Its totient is φ = 120692880.

The previous prime is 309944381. The next prime is 309944471. The reversal of 309944404 is 404449903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165079 + ... + 166945.

Almost surely, 2309944404 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 309944404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347821600).

309944404 is an abundant number, since it is smaller than the sum of its proper divisors (385698796).

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

309944404 is a wasteful number, since it uses less digits than its factorization.

309944404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 309944404 is about 17605.2379705586. The cubic root of 309944404 is about 676.7494838522.

The spelling of 309944404 in words is "three hundred nine million, nine hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 686 847 1078 1372 1694 1867 2156 3388 3734 3773 5929 7468 7546 11858 13069 15092 20537 23716 26138 41074 41503 52276 82148 83006 91483 143759 166012 182966 225907 287518 365932 451814 575036 640381 903628 1006313 1280762 1581349 2012626 2561524 3162698 4025252 6325396 7044191 11069443 14088382 22138886 28176764 44277772 77486101 154972202 309944404