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30430080 = 27345587
BaseRepresentation
bin111010000010…
…1001110000000
32010021000020000
41310011032000
530242230310
63004120000
7516436302
oct164051600
963230200
1030430080
11161a462a
12a236000
1363c5985
144081972
152a114c0
hex1d05380

30430080 has 160 divisors (see below), whose sum is σ = 108856440. Its totient is φ = 8100864.

The previous prime is 30430073. The next prime is 30430093. The reversal of 30430080 is 8003403.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51547 + ... + 52133.

Almost surely, 230430080 is an apocalyptic number.

30430080 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 30430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54428220).

30430080 is an abundant number, since it is smaller than the sum of its proper divisors (78426360).

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

30430080 is an equidigital number, since it uses as much as digits as its factorization.

30430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30430080 is about 5516.3466171009. The cubic root of 30430080 is about 312.2010538444.

Adding to 30430080 its reverse (8003403), we get a palindrome (38433483).

The spelling of 30430080 in words is "thirty million, four hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 587 640 648 720 810 864 960 1080 1152 1174 1296 1440 1620 1728 1761 1920 2160 2348 2592 2880 2935 3240 3456 3522 4320 4696 5184 5283 5760 5870 6480 7044 8640 8805 9392 10368 10566 11740 12960 14088 15849 17280 17610 18784 21132 23480 25920 26415 28176 31698 35220 37568 42264 46960 47547 51840 52830 56352 63396 70440 75136 79245 84528 93920 95094 105660 112704 126792 140880 158490 169056 187840 190188 211320 225408 237735 253584 281760 316980 338112 375680 380376 422640 475470 507168 563520 633960 676224 760752 845280 950940 1014336 1127040 1267920 1521504 1690560 1901880 2028672 2535840 3043008 3381120 3803760 5071680 6086016 7607520 10143360 15215040 30430080