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23463468 = 22327175477
BaseRepresentation
bin101100110000…
…0011000101100
31122011001211100
41121200120230
522001312333
62154523100
7403302420
oct131403054
948131740
1023463468
11122764a6
127a36490
134b26a12
14318ab80
1520d7213
hex166062c

23463468 has 72 divisors (see below), whose sum is σ = 71783712. Its totient is φ = 6308352.

The previous prime is 23463443. The next prime is 23463469. The reversal of 23463468 is 86436432.

It is a happy number.

It is a super-3 number, since 3×234634683 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23463469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546 + ... + 7022.

It is an arithmetic number, because the mean of its divisors is an integer number (996996).

Almost surely, 223463468 is an apocalyptic number.

23463468 is a gapful number since it is divisible by the number (28) 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 23463468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35891856).

23463468 is an abundant number, since it is smaller than the sum of its proper divisors (48320244).

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

23463468 is a wasteful number, since it uses less digits than its factorization.

23463468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5506 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 23463468 is about 4843.9104037957. The cubic root of 23463468 is about 286.2842138570.

The spelling of 23463468 in words is "twenty-three million, four hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 5477 10954 16431 21908 32862 38339 49293 65724 76678 93109 98586 115017 153356 186218 197172 230034 279327 345051 372436 460068 558654 651763 690102 837981 1117308 1303526 1380204 1675962 1955289 2607052 3351924 3910578 5865867 7821156 11731734 23463468