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30348936 = 23321273319
BaseRepresentation
bin111001111000…
…1011010001000
32010002212220200
41303301122020
530232131221
63002252200
7515650602
oct163613210
963085820
1030348936
1116149672
12a1b7060
136397a67
144060172
1529e7426
hex1cf1688

30348936 has 48 divisors (see below), whose sum is σ = 82867200. Its totient is φ = 10033632.

The previous prime is 30348931. The next prime is 30348943. The reversal of 30348936 is 63984303.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30348936.

It is not an unprimeable number, because it can be changed into a prime (30348931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7485 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (1726400).

Almost surely, 230348936 is an apocalyptic number.

30348936 is a gapful number since it is divisible by the number (36) 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 30348936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41433600).

30348936 is an abundant number, since it is smaller than the sum of its proper divisors (52518264).

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

30348936 is a wasteful number, since it uses less digits than its factorization.

30348936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30348936 is about 5508.9868397011. The cubic root of 30348936 is about 311.9233046198.

The spelling of 30348936 in words is "thirty million, three hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 3319 4572 6638 9144 9957 13276 19914 26552 29871 39828 59742 79656 119484 238968 421513 843026 1264539 1686052 2529078 3372104 3793617 5058156 7587234 10116312 15174468 30348936