Search a number
-
+
233040324 = 2231123591301
BaseRepresentation
bin11011110001111…
…10100111000100
3121020111200020010
431320332213010
5434124242244
635042510220
75526544566
oct1570764704
9536450203
10233040324
1110a5aa710
1266065370
13393850aa
1422d43336
15156d3eb9
hexde3e9c4

233040324 has 96 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 66352000.

The previous prime is 233040307. The next prime is 233040337. The reversal of 233040324 is 423040332.

It is a super-2 number, since 2×2330403242 = 108615585220049952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233040324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178474 + ... + 179774.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2233040324 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 233040324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

233040324 is an abundant number, since it is smaller than the sum of its proper divisors (396919356).

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

233040324 is a wasteful number, since it uses less digits than its factorization.

233040324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 233040324 is about 15265.6583218674. The cubic root of 233040324 is about 615.3804454157.

Adding to 233040324 its reverse (423040332), we get a palindrome (656080656).

The spelling of 233040324 in words is "two hundred thirty-three million, forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 59 66 69 92 118 132 138 177 236 253 276 354 506 649 708 759 1012 1298 1301 1357 1518 1947 2596 2602 2714 3036 3894 3903 4071 5204 5428 7788 7806 8142 14311 14927 15612 16284 28622 29854 29923 42933 44781 57244 59708 59846 76759 85866 89562 89769 119692 153518 171732 179124 179538 230277 307036 329153 359076 460554 658306 844349 921108 987459 1316612 1688698 1765457 1974918 2533047 3377396 3530914 3949836 5066094 5296371 7061828 10132188 10592742 19420027 21185484 38840054 58260081 77680108 116520162 233040324