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30809280 = 263567479
BaseRepresentation
bin111010110000…
…1110011000000
32010222021101110
41311201303000
530341344110
63020203320
7522605655
oct165416300
963867343
1030809280
1116433517
12a399540
1364c9458
14413dc2c
152a88a20
hex1d61cc0

30809280 has 112 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 8076288.

The previous prime is 30809263. The next prime is 30809291. The reversal of 30809280 is 8290803.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 64081 + ... + 64559.

Almost surely, 230809280 is an apocalyptic number.

30809280 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 30809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

30809280 is an abundant number, since it is smaller than the sum of its proper divisors (68677440).

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

30809280 is a wasteful number, since it uses less digits than its factorization.

30809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 30809280 is about 5550.6107772028. The cubic root of 30809280 is about 313.4925200884.

The spelling of 30809280 in words is "thirty million, eight hundred nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 479 480 536 670 804 958 960 1005 1072 1340 1437 1608 1916 2010 2144 2395 2680 2874 3216 3832 4020 4288 4790 5360 5748 6432 7185 7664 8040 9580 10720 11496 12864 14370 15328 16080 19160 21440 22992 28740 30656 32093 32160 38320 45984 57480 64186 64320 76640 91968 96279 114960 128372 153280 160465 192558 229920 256744 320930 385116 459840 481395 513488 641860 770232 962790 1026976 1283720 1540464 1925580 2053952 2567440 3080928 3851160 5134880 6161856 7702320 10269760 15404640 30809280