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23934072 = 2331973719
BaseRepresentation
bin101101101001…
…1010001111000
31200000222101010
41123103101320
522111342242
62212553520
7410302431
oct133232170
950028333
1023934072
1112568028
1280228a0
134c5cc96
143270488
15217b89c
hex16d3478

23934072 has 64 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 7444224.

The previous prime is 23934067. The next prime is 23934083. The reversal of 23934072 is 27043932.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32929 + ... + 33647.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 223934072 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 23934072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).

23934072 is an abundant number, since it is smaller than the sum of its proper divisors (40001928).

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

23934072 is a wasteful number, since it uses less digits than its factorization.

23934072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 23934072 is about 4892.2461099172. The cubic root of 23934072 is about 288.1855478709.

The spelling of 23934072 in words is "twenty-three million, nine hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 719 876 1387 1438 1752 2157 2774 2876 4161 4314 5548 5752 8322 8628 11096 13661 16644 17256 27322 33288 40983 52487 54644 81966 104974 109288 157461 163932 209948 314922 327864 419896 629844 997253 1259688 1994506 2991759 3989012 5983518 7978024 11967036 23934072