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30806352 = 2433292459
BaseRepresentation
bin111010110000…
…1000101010000
32010222010101000
41311201011100
530341300402
63020142000
7522564303
oct165410520
963863330
1030806352
11164312a5
12a397900
1364c8015
14413cb3a
152a87c1c
hex1d61150

30806352 has 80 divisors (see below), whose sum is σ = 91512000. Its totient is φ = 9910656.

The previous prime is 30806341. The next prime is 30806357. The reversal of 30806352 is 25360803.

30806352 is a `hidden beast` number, since 308 + 0 + 6 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30806357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11299 + ... + 13757.

It is an arithmetic number, because the mean of its divisors is an integer number (1143900).

Almost surely, 230806352 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 30806352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45756000).

30806352 is an abundant number, since it is smaller than the sum of its proper divisors (60705648).

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

30806352 is a wasteful number, since it uses less digits than its factorization.

30806352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30806352 is about 5550.3470161784. The cubic root of 30806352 is about 313.4825887173.

The spelling of 30806352 in words is "thirty million, eight hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 2459 3132 4176 4918 6264 7377 9836 12528 14754 19672 22131 29508 39344 44262 59016 66393 71311 88524 118032 132786 142622 177048 213933 265572 285244 354096 427866 531144 570488 641799 855732 1062288 1140976 1283598 1711464 1925397 2567196 3422928 3850794 5134392 7701588 10268784 15403176 30806352