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30760320 = 273537433
BaseRepresentation
bin111010101010…
…1110110000000
32010212210020010
41311111312000
530333312240
63015144520
7522313143
oct165256600
963783203
1030760320
11163aa758
12a375140
1364b0096
14412a05a
152a79280
hex1d55d80

30760320 has 128 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 7962624.

The previous prime is 30760319. The next prime is 30760337. The reversal of 30760320 is 2306703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70824 + ... + 71256.

Almost surely, 230760320 is an apocalyptic number.

30760320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

30760320 is an abundant number, since it is smaller than the sum of its proper divisors (70170720).

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

30760320 is a wasteful number, since it uses less digits than its factorization.

30760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 30760320 is about 5546.1986982076. The cubic root of 30760320 is about 313.3263717582.

The spelling of 30760320 in words is "thirty million, seven hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 433 444 480 555 592 640 740 866 888 960 1110 1184 1299 1480 1732 1776 1920 2165 2220 2368 2598 2960 3464 3552 4330 4440 4736 5196 5920 6495 6928 7104 8660 8880 10392 11840 12990 13856 14208 16021 17320 17760 20784 23680 25980 27712 32042 34640 35520 41568 48063 51960 55424 64084 69280 71040 80105 83136 96126 103920 128168 138560 160210 166272 192252 207840 240315 256336 277120 320420 384504 415680 480630 512672 640840 769008 831360 961260 1025344 1281680 1538016 1922520 2050688 2563360 3076032 3845040 5126720 6152064 7690080 10253440 15380160 30760320