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30809436 = 22372151347
BaseRepresentation
bin111010110000…
…1110101011100
32010222021121020
41311201311130
530341400221
63020204140
7522606300
oct165416534
963867536
1030809436
1116433649
12a399650
1364c9548
14413dd00
152a88ac6
hex1d61d5c

30809436 has 72 divisors (see below), whose sum is σ = 84422016. Its totient is φ = 8719200.

The previous prime is 30809413. The next prime is 30809477. The reversal of 30809436 is 63490803.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30809397 and 30809406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88615 + ... + 88961.

It is an arithmetic number, because the mean of its divisors is an integer number (1172528).

Almost surely, 230809436 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 30809436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42211008).

30809436 is an abundant number, since it is smaller than the sum of its proper divisors (53612580).

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

30809436 is a wasteful number, since it uses less digits than its factorization.

30809436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 30809436 is about 5550.6248296926. The cubic root of 30809436 is about 313.4930492012.

The spelling of 30809436 in words is "thirty million, eight hundred nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 294 302 347 453 588 604 694 906 1041 1057 1388 1812 2082 2114 2429 3171 4164 4228 4858 6342 7287 7399 9716 12684 14574 14798 17003 22197 29148 29596 34006 44394 51009 52397 68012 88788 102018 104794 157191 204036 209588 314382 366779 628764 733558 1100337 1467116 2200674 2567453 4401348 5134906 7702359 10269812 15404718 30809436