Search a number
-
+
23402632 = 2311733643
BaseRepresentation
bin101100101000…
…1100010001000
31122000222101011
41121101202020
521442341012
62153333304
7402630151
oct131214210
948028334
1023402632
1112234820
127a07234
134b05116
143172928
1520c41a7
hex1651888

23402632 has 32 divisors (see below), whose sum is σ = 48538080. Its totient is φ = 10488960.

The previous prime is 23402593. The next prime is 23402633. The reversal of 23402632 is 23620432.

It is a happy number.

It is a super-3 number, since 3×234026323 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23402633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4603 + ... + 8245.

It is an arithmetic number, because the mean of its divisors is an integer number (1516815).

Almost surely, 223402632 is an apocalyptic number.

23402632 is a gapful number since it is divisible by the number (22) 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 23402632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269040).

23402632 is an abundant number, since it is smaller than the sum of its proper divisors (25135448).

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

23402632 is a wasteful number, since it uses less digits than its factorization.

23402632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 23402632 is about 4837.6266908475. The cubic root of 23402632 is about 286.0365741285.

The spelling of 23402632 in words is "twenty-three million, four hundred two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 3212 3643 6424 7286 14572 29144 40073 80146 160292 265939 320584 531878 1063756 2127512 2925329 5850658 11701316 23402632