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23378040 = 2332579277
BaseRepresentation
bin101100100101…
…1100001111000
31121222201122100
41121023201320
521441044130
62153023400
7402465360
oct131134170
947881570
1023378040
11122182a4
1279b4b60
134ac6b7a
1431679a0
1520bbc60
hex164b878

23378040 has 96 divisors (see below), whose sum is σ = 86842080. Its totient is φ = 5342976.

The previous prime is 23378023. The next prime is 23378041. The reversal of 23378040 is 4087332.

It is a junction number, because it is equal to n+sod(n) for n = 23377995 and 23378013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23378041) 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, 2119 + ... + 7158.

It is an arithmetic number, because the mean of its divisors is an integer number (904605).

Almost surely, 223378040 is an apocalyptic number.

23378040 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 23378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43421040).

23378040 is an abundant number, since it is smaller than the sum of its proper divisors (63464040).

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

23378040 is a wasteful number, since it uses less digits than its factorization.

23378040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9301 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23378040 is about 4835.0842805478. The cubic root of 23378040 is about 285.9363478409.

The spelling of 23378040 in words is "twenty-three million, three hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 9277 18554 27831 37108 46385 55662 64939 74216 83493 92770 111324 129878 139155 166986 185540 194817 222648 259756 278310 324695 333972 371080 389634 417465 519512 556620 584451 649390 667944 779268 834930 974085 1113240 1168902 1298780 1558536 1669860 1948170 2337804 2597560 2922255 3339720 3896340 4675608 5844510 7792680 11689020 23378040