Search a number
-
+
123204330 = 232523531123
BaseRepresentation
bin1110101011111…
…11001011101010
322120211102120100
413111333023222
5223020014310
620120410230
73024135204
oct725771352
9276742510
10123204330
1163600267
1235316976
131c6a9592
1412511774
15ac39ec0
hex757f2ea

123204330 has 96 divisors (see below), whose sum is σ = 340868736. Its totient is φ = 30805632.

The previous prime is 123204313. The next prime is 123204397. The reversal of 123204330 is 33402321.

123204330 is a `hidden beast` number, since 1 + 232 + 0 + 433 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109149 + ... + 110271.

It is an arithmetic number, because the mean of its divisors is an integer number (3550716).

Almost surely, 2123204330 is an apocalyptic number.

123204330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170434368).

123204330 is an abundant number, since it is smaller than the sum of its proper divisors (217664406).

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

123204330 is a wasteful number, since it uses less digits than its factorization.

123204330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123204330 is about 11099.7445916562. The cubic root of 123204330 is about 497.5942163086.

Adding to 123204330 its reverse (33402321), we get a palindrome (156606651).

The spelling of 123204330 in words is "one hundred twenty-three million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 53 69 90 106 115 138 159 207 230 265 318 345 414 477 530 690 795 954 1035 1123 1219 1590 2070 2246 2385 2438 3369 3657 4770 5615 6095 6738 7314 10107 10971 11230 12190 16845 18285 20214 21942 25829 33690 36570 50535 51658 54855 59519 77487 101070 109710 119038 129145 154974 178557 232461 258290 297595 357114 387435 464922 535671 595190 774870 892785 1071342 1162305 1368937 1785570 2324610 2678355 2737874 4106811 5356710 6844685 8213622 12320433 13689370 20534055 24640866 41068110 61602165 123204330