Search a number
-
+
234642432 = 2103174493
BaseRepresentation
bin11011111110001…
…01110000000000
3121100112001220110
431333011300000
5440032024212
635141111320
75546266503
oct1577056000
9540461813
10234642432
111104a4372
12666b8540
13397c639b
142323d13a
15158eda3c
hexdfc5c00

234642432 has 88 divisors (see below), whose sum is σ = 662343696. Its totient is φ = 73596928.

The previous prime is 234642431. The next prime is 234642437. The reversal of 234642432 is 234246432.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234642432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234642431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49978 + ... + 54470.

Almost surely, 2234642432 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 234642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331171848).

234642432 is an abundant number, since it is smaller than the sum of its proper divisors (427701264).

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

234642432 is a wasteful number, since it uses less digits than its factorization.

234642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4515 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 234642432 is about 15318.0426948093. The cubic root of 234642432 is about 616.7874339889.

Adding to 234642432 its reverse (234246432), we get a palindrome (468888864).

The spelling of 234642432 in words is "two hundred thirty-four million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 4493 6528 8704 8986 13056 13479 17408 17972 26112 26958 35944 52224 53916 71888 76381 107832 143776 152762 215664 229143 287552 305524 431328 458286 575104 611048 862656 916572 1150208 1222096 1725312 1833144 2300416 2444192 3450624 3666288 4600832 4888384 6901248 7332576 9776768 13802496 14665152 19553536 29330304 39107072 58660608 78214144 117321216 234642432