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23828364 = 2233743733
BaseRepresentation
bin101101011100…
…1011110001100
31122211121101000
41122321132030
522100001424
62210420300
7406352310
oct132713614
948747330
1023828364
11124a566a
127b91690
134c23b31
143243b40
15215a3c9
hex16b978c

23828364 has 96 divisors (see below), whose sum is σ = 72343040. Its totient is φ = 6640704.

The previous prime is 23828347. The next prime is 23828383. The reversal of 23828364 is 46382832.

It is a super-3 number, since 3×238283643 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32142 + ... + 32874.

Almost surely, 223828364 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 23828364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36171520).

23828364 is an abundant number, since it is smaller than the sum of its proper divisors (48514676).

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

23828364 is a wasteful number, since it uses less digits than its factorization.

23828364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 23828364 is about 4881.4305280317. The cubic root of 23828364 is about 287.7606518345.

The spelling of 23828364 in words is "twenty-three million, eight hundred twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 733 756 774 903 1161 1204 1466 1548 1806 2199 2322 2709 2932 3612 4398 4644 5131 5418 6597 8127 8796 10262 10836 13194 15393 16254 19791 20524 26388 30786 31519 32508 39582 46179 61572 63038 79164 92358 94557 126076 138537 184716 189114 220633 277074 283671 378228 441266 554148 567342 661899 851013 882532 1134684 1323798 1702026 1985697 2647596 3404052 3971394 5957091 7942788 11914182 23828364