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307989440 = 26511591483
BaseRepresentation
bin10010010110111…
…000101111000000
3210110112111002022
4102112320233000
51112321130230
650321141012
710426603253
oct2226705700
9713474068
10307989440
11148941030
128718a768
134ba67495
142cc9309a
151c08b1e5
hex125b8bc0

307989440 has 112 divisors (see below), whose sum is σ = 814181760. Its totient is φ = 110023680.

The previous prime is 307989431. The next prime is 307989463. The reversal of 307989440 is 44989703.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 307989391 and 307989400.

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 15 ways as a sum of consecutive naturals, for example, 206939 + ... + 208421.

It is an arithmetic number, because the mean of its divisors is an integer number (7269480).

Almost surely, 2307989440 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 307989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407090880).

307989440 is an abundant number, since it is smaller than the sum of its proper divisors (506192320).

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

307989440 is a wasteful number, since it uses less digits than its factorization.

307989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 307989440 is about 17549.6279162836. The cubic root of 307989440 is about 675.3236235087.

The spelling of 307989440 in words is "three hundred seven million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 160 176 220 236 295 320 352 440 472 590 649 704 880 944 1180 1298 1483 1760 1888 2360 2596 2966 3245 3520 3776 4720 5192 5932 6490 7415 9440 10384 11864 12980 14830 16313 18880 20768 23728 25960 29660 32626 41536 47456 51920 59320 65252 81565 87497 94912 103840 118640 130504 163130 174994 207680 237280 261008 326260 349988 437485 474560 522016 652520 699976 874970 962467 1044032 1305040 1399952 1749940 1924934 2610080 2799904 3499880 3849868 4812335 5220160 5599808 6999760 7699736 9624670 13999520 15399472 19249340 27999040 30798944 38498680 61597888 76997360 153994720 307989440