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304931120 = 245131012903
BaseRepresentation
bin10010001011001…
…110000100110000
3210020210002212012
4102023032010300
51111030243440
650131422052
710361605004
oct2213160460
9706702765
10304931120
1114714229a
1286154928
134b236420
142c6d8704
151bb84e65
hex122ce130

304931120 has 80 divisors (see below), whose sum is σ = 771325632. Its totient is φ = 111436800.

The previous prime is 304931119. The next prime is 304931129. The reversal of 304931120 is 21139403.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (304931129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103589 + ... + 106491.

Almost surely, 2304931120 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 304931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385662816).

304931120 is an abundant number, since it is smaller than the sum of its proper divisors (466394512).

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

304931120 is a wasteful number, since it uses less digits than its factorization.

304931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 304931120 is about 17462.2770565582. The cubic root of 304931120 is about 673.0808734512.

It can be divided in two parts, 30493 and 1120, that added together give a palindrome (31613).

The spelling of 304931120 in words is "three hundred four million, nine hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 2903 4040 5252 5806 6565 8080 10504 11612 13130 14515 21008 23224 26260 29030 37739 46448 52520 58060 75478 105040 116120 150956 188695 232240 293203 301912 377390 586406 603824 754780 1172812 1466015 1509560 2345624 2932030 3019120 3811639 4691248 5864060 7623278 11728120 15246556 19058195 23456240 30493112 38116390 60986224 76232780 152465560 304931120