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23456340 = 22325151863
BaseRepresentation
bin101100101111…
…0101001010100
31122010201001100
41121132221110
522001100330
62154430100
7403242555
oct131365124
948121040
1023456340
1112271106
127a32330
134b236bb
14318832c
1520d5060
hex165ea54

23456340 has 72 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 6206400.

The previous prime is 23456327. The next prime is 23456347. The reversal of 23456340 is 4365432.

23456340 is a `hidden beast` number, since 23 + 4 + 5 + 634 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26749 + ... + 27611.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 223456340 is an apocalyptic number.

23456340 is a gapful number since it is divisible by the number (20) 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 23456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

23456340 is an abundant number, since it is smaller than the sum of its proper divisors (48248748).

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

23456340 is a wasteful number, since it uses less digits than its factorization.

23456340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 23456340 is about 4843.1745787242. The cubic root of 23456340 is about 286.2552206926.

The spelling of 23456340 in words is "twenty-three million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 863 906 1359 1510 1726 1812 2265 2589 2718 3020 3452 4315 4530 5178 5436 6795 7767 8630 9060 10356 12945 13590 15534 17260 25890 27180 31068 38835 51780 77670 130313 155340 260626 390939 521252 651565 781878 1172817 1303130 1563756 1954695 2345634 2606260 3909390 4691268 5864085 7818780 11728170 23456340