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23430768 = 2433779167
BaseRepresentation
bin101100101100…
…0011001110000
31122002101222020
41121120121300
521444241033
62154111440
7403105164
oct131303160
948071866
1023430768
1112253979
127a1b580
134b14b7a
14317cca4
1520cc6b3
hex1658670

23430768 has 80 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 7458048.

The previous prime is 23430751. The next prime is 23430773. The reversal of 23430768 is 86703432.

It is a congruent number.

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, 140221 + ... + 140387.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 223430768 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 23430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

23430768 is an abundant number, since it is smaller than the sum of its proper divisors (39898512).

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

23430768 is a wasteful number, since it uses less digits than its factorization.

23430768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 23430768 is about 4840.5338548553. The cubic root of 23430768 is about 286.1511581344.

The spelling of 23430768 in words is "twenty-three million, four hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 79 111 148 158 167 222 237 296 316 334 444 474 501 592 632 668 888 948 1002 1264 1336 1776 1896 2004 2672 2923 3792 4008 5846 6179 8016 8769 11692 12358 13193 17538 18537 23384 24716 26386 35076 37074 39579 46768 49432 52772 70152 74148 79158 98864 105544 140304 148296 158316 211088 296592 316632 488141 633264 976282 1464423 1952564 2928846 3905128 5857692 7810256 11715384 23430768