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232441104 = 24372372671
BaseRepresentation
bin11011101101011…
…00010100010000
3121012101020020210
431312230110100
5434001103404
635022004120
75521500600
oct1566542420
9535336223
10232441104
1110a230495
1265a16640
133920541c
1422c28c00
1515616689
hexddac510

232441104 has 120 divisors (see below), whose sum is σ = 717656448. Its totient is φ = 64592640.

The previous prime is 232441091. The next prime is 232441127. The reversal of 232441104 is 401144232.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85689 + ... + 88359.

Almost surely, 2232441104 is an apocalyptic number.

232441104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358828224).

232441104 is an abundant number, since it is smaller than the sum of its proper divisors (485215344).

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

232441104 is a wasteful number, since it uses less digits than its factorization.

232441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 232441104 is about 15246.0192837344. The cubic root of 232441104 is about 614.8525471069.

Adding to 232441104 its reverse (401144232), we get a palindrome (633585336).

The spelling of 232441104 in words is "two hundred thirty-two million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1776 1813 2072 2352 2671 3108 3626 4144 5342 5439 6216 7252 8013 10684 10878 12432 14504 16026 18697 21368 21756 29008 32052 37394 42736 43512 56091 64104 74788 87024 98827 112182 128208 130879 149576 197654 224364 261758 296481 299152 392637 395308 448728 523516 592962 691789 785274 790616 897456 1047032 1185924 1383578 1570548 1581232 2075367 2094064 2371848 2767156 3141096 4150734 4743696 4842523 5534312 6282192 8301468 9685046 11068624 14527569 16602936 19370092 29055138 33205872 38740184 58110276 77480368 116220552 232441104