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30504320 = 275711619
BaseRepresentation
bin111010001011…
…1010110000000
32010101210001122
41310113112000
530302114240
63005451412
7520165610
oct164272600
963353048
1030504320
1116245390
12a270b68
1364206c2
1440a0a40
152a284b5
hex1d17580

30504320 has 128 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 9492480.

The previous prime is 30504319. The next prime is 30504337. The reversal of 30504320 is 2340503.

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 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, 48971 + ... + 49589.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 230504320 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 30504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

30504320 is an abundant number, since it is smaller than the sum of its proper divisors (60561280).

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

30504320 is a wasteful number, since it uses less digits than its factorization.

30504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 30504320 is about 5523.0716091682. The cubic root of 30504320 is about 312.4547390449.

Adding to 30504320 its reverse (2340503), we get a palindrome (32844823).

The spelling of 30504320 in words is "thirty million, five hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 619 640 704 770 880 896 1120 1232 1238 1408 1540 1760 2240 2464 2476 3080 3095 3520 4333 4480 4928 4952 6160 6190 6809 7040 8666 9856 9904 12320 12380 13618 17332 19808 21665 24640 24760 27236 34045 34664 39616 43330 47663 49280 49520 54472 68090 69328 79232 86660 95326 99040 108944 136180 138656 173320 190652 198080 217888 238315 272360 277312 346640 381304 396160 435776 476630 544720 554624 693280 762608 871552 953260 1089440 1386560 1525216 1906520 2178880 2773120 3050432 3813040 4357760 6100864 7626080 15252160 30504320