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23438880 = 2532541397
BaseRepresentation
bin101100101101…
…0011000100000
31122002211002200
41121122120200
522000021010
62154213200
7403140633
oct131323040
948084080
1023438880
1112259a83
127a24200
134b1877a
143181c1a
1520cecc0
hex165a620

23438880 has 144 divisors (see below), whose sum is σ = 82142424. Its totient is φ = 6082560.

The previous prime is 23438843. The next prime is 23438887. The reversal of 23438880 is 8883432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 8785296 = 3828^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23438887) 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, 58842 + ... + 59238.

Almost surely, 223438880 is an apocalyptic number.

23438880 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 23438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41071212).

23438880 is an abundant number, since it is smaller than the sum of its proper divisors (58703544).

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

23438880 is a wasteful number, since it uses less digits than its factorization.

23438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 23438880 is about 4841.3717064485. The cubic root of 23438880 is about 286.1841772593.

The spelling of 23438880 in words is "twenty-three million, four hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 397 410 480 492 615 656 720 738 794 820 984 1191 1230 1312 1440 1476 1588 1640 1845 1968 1985 2382 2460 2952 3176 3280 3573 3690 3936 3970 4764 4920 5904 5955 6352 6560 7146 7380 7940 9528 9840 11808 11910 12704 14292 14760 15880 16277 17865 19056 19680 23820 28584 29520 31760 32554 35730 38112 47640 48831 57168 59040 63520 65108 71460 81385 95280 97662 114336 130216 142920 146493 162770 190560 195324 244155 260432 285840 292986 325540 390648 488310 520864 571680 585972 651080 732465 781296 976620 1171944 1302160 1464930 1562592 1953240 2343888 2604320 2929860 3906480 4687776 5859720 7812960 11719440 23438880