Search a number
-
+
234965472 = 25373171103
BaseRepresentation
bin11100000000101…
…00100111100000
3121101010111000220
432000110213200
5440122343342
635152043040
75552113350
oct1600244740
9541114026
10234965472
111106a5045
1266833480
13398aa431
14232c4b60
15159645ec
hexe0149e0

234965472 has 96 divisors (see below), whose sum is σ = 707761152. Its totient is φ = 66860544.

The previous prime is 234965443. The next prime is 234965477. The reversal of 234965472 is 274569432.

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 (42).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (362880) is a multiple of the sum of its prime factors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234965477) 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, 212473 + ... + 213575.

It is an arithmetic number, because the mean of its divisors is an integer number (7372512).

Almost surely, 2234965472 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 234965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353880576).

234965472 is an abundant number, since it is smaller than the sum of its proper divisors (472795680).

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

234965472 is a wasteful number, since it uses less digits than its factorization.

234965472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1432 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 234965472 is about 15328.5834962008. The cubic root of 234965472 is about 617.0703547494.

The spelling of 234965472 in words is "two hundred thirty-four million, nine hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 317 336 634 672 951 1103 1268 1902 2206 2219 2536 3309 3804 4412 4438 5072 6618 6657 7608 7721 8824 8876 10144 13236 13314 15216 15442 17648 17752 23163 26472 26628 30432 30884 35296 35504 46326 52944 53256 61768 71008 92652 105888 106512 123536 185304 213024 247072 349651 370608 699302 741216 1048953 1398604 2097906 2447557 2797208 4195812 4895114 5594416 7342671 8391624 9790228 11188832 14685342 16783248 19580456 29370684 33566496 39160912 58741368 78321824 117482736 234965472