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232120434 = 237134110369
BaseRepresentation
bin11011101010111…
…10000001110010
3121011202221101010
431311132001302
5433410323214
635011051350
75515663650
oct1565360162
9534687333
10232120434
1110a031577
12658a0b56
1339122490
1422b83dd0
15155a1659
hexdd5e072

232120434 has 64 divisors (see below), whose sum is σ = 585365760. Its totient is φ = 59719680.

The previous prime is 232120429. The next prime is 232120453. The reversal of 232120434 is 434021232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 232120434.

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, 17202 + ... + 27570.

It is an arithmetic number, because the mean of its divisors is an integer number (9146340).

Almost surely, 2232120434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232120434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292682880).

232120434 is an abundant number, since it is smaller than the sum of its proper divisors (353245326).

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

232120434 is a wasteful number, since it uses less digits than its factorization.

232120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232120434 is about 15235.4991385251. The cubic root of 232120434 is about 614.5696718605.

Adding to 232120434 its reverse (434021232), we get a palindrome (666141666).

The spelling of 232120434 in words is "two hundred thirty-two million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 3198 3731 7462 10369 11193 20738 22386 31107 62214 72583 134797 145166 217749 269594 404391 425129 435498 808782 850258 943579 1275387 1887158 2550774 2830737 2975903 5526677 5661474 5951806 8927709 11053354 16580031 17855418 33160062 38686739 77373478 116060217 232120434