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307403844 = 2231137113557
BaseRepresentation
bin10010010100101…
…001110001000100
3210102102201210120
4102110221301010
51112143410334
650300421540
710421614056
oct2224516104
9712381716
10307403844
11148581070
1286b478b0
134b8c0a87
142cb7d8d6
151bec2949
hex12529c44

307403844 has 96 divisors (see below), whose sum is σ = 812198016. Its totient is φ = 89671680.

The previous prime is 307403777. The next prime is 307403851. The reversal of 307403844 is 448304703.

307403844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551614 + ... + 552170.

It is an arithmetic number, because the mean of its divisors is an integer number (8460396).

Almost surely, 2307403844 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 307403844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406099008).

307403844 is an abundant number, since it is smaller than the sum of its proper divisors (504794172).

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

307403844 is a wasteful number, since it uses less digits than its factorization.

307403844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 307403844 is about 17532.9359777534. The cubic root of 307403844 is about 674.8953428961.

The spelling of 307403844 in words is "three hundred seven million, four hundred three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 113 132 148 222 226 339 407 444 452 557 678 814 1114 1221 1243 1356 1628 1671 2228 2442 2486 3342 3729 4181 4884 4972 6127 6684 7458 8362 12254 12543 14916 16724 18381 20609 24508 25086 36762 41218 45991 50172 61827 62941 73524 82436 91982 123654 125882 137973 183964 188823 226699 247308 251764 275946 377646 453398 551892 680097 692351 755292 906796 1360194 1384702 2077053 2328817 2720388 2769404 4154106 4657634 6986451 8308212 9315268 13972902 25616987 27945804 51233974 76850961 102467948 153701922 307403844