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23464320 = 2735112101
BaseRepresentation
bin101100110000…
…0100110000000
31122011002222220
41121200212000
522001324240
62154531040
7403305045
oct131404600
948132886
1023464320
1112277100
127a36a80
134b27219
14318b1cc
1520d75d0
hex1660980

23464320 has 192 divisors, whose sum is σ = 83023920. Its totient is φ = 5632000.

The previous prime is 23464307. The next prime is 23464333. The reversal of 23464320 is 2346432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23464307) and next prime (23464333).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 232270 + ... + 232370.

Almost surely, 223464320 is an apocalyptic number.

23464320 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 23464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511960).

23464320 is an abundant number, since it is smaller than the sum of its proper divisors (59559600).

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

23464320 is a wasteful number, since it uses less digits than its factorization.

23464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 23464320 is about 4843.9983484721. The cubic root of 23464320 is about 286.2876789770.

It can be divided in two parts, 2346 and 4320, that added together give a palindrome (6666).

The spelling of 23464320 in words is "twenty-three million, four hundred sixty-four thousand, three hundred twenty".