Search a number
-
+
23348640 = 253576949
BaseRepresentation
bin101100100010…
…0010110100000
31121221020022110
41121010112200
521434124030
62152235320
7402313560
oct131042640
947836273
1023348640
11121a81a7
12799bb40
134ab6683
14315ada0
1520b31b0
hex16445a0

23348640 has 96 divisors (see below), whose sum is σ = 84067200. Its totient is φ = 5336064.

The previous prime is 23348623. The next prime is 23348653. The reversal of 23348640 is 4684332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23348598 and 23348607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115 + ... + 6834.

It is an arithmetic number, because the mean of its divisors is an integer number (875700).

Almost surely, 223348640 is an apocalyptic number.

23348640 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 23348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42033600).

23348640 is an abundant number, since it is smaller than the sum of its proper divisors (60718560).

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

23348640 is a wasteful number, since it uses less digits than its factorization.

23348640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 23348640 is about 4832.0430461659. The cubic root of 23348640 is about 285.8164339519.

The spelling of 23348640 in words is "twenty-three million, three hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6949 13898 20847 27796 34745 41694 48643 55592 69490 83388 97286 104235 111184 138980 145929 166776 194572 208470 222368 243215 277960 291858 333552 389144 416940 486430 555920 583716 667104 729645 778288 833880 972860 1111840 1167432 1459290 1556576 1667760 1945720 2334864 2918580 3335520 3891440 4669728 5837160 7782880 11674320 23348640