Search a number
-
+
23734480 = 2457113853
BaseRepresentation
bin101101010001…
…0100011010000
31122122211120211
41122202203100
522034000410
62204413504
7405511510
oct132424320
948584524
1023734480
1112441080
127b47294
134bc0193
14321b840
15213c68a
hex16a28d0

23734480 has 80 divisors (see below), whose sum is σ = 68817024. Its totient is φ = 7395840.

The previous prime is 23734457. The next prime is 23734481. The reversal of 23734480 is 8443732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23734481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4234 + ... + 8086.

Almost surely, 223734480 is an apocalyptic number.

23734480 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 23734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34408512).

23734480 is an abundant number, since it is smaller than the sum of its proper divisors (45082544).

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

23734480 is a wasteful number, since it uses less digits than its factorization.

23734480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 23734480 is about 4871.8045937825. The cubic root of 23734480 is about 287.3822277545.

The spelling of 23734480 in words is "twenty-three million, seven hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 3853 6160 7706 15412 19265 26971 30824 38530 42383 53942 61648 77060 84766 107884 134855 154120 169532 211915 215768 269710 296681 308240 339064 423830 431536 539420 593362 678128 847660 1078840 1186724 1483405 1695320 2157680 2373448 2966810 3390640 4746896 5933620 11867240 23734480