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234002032 = 24112395563
BaseRepresentation
bin11011111001010…
…01011001110000
3121022022112102221
431330221121300
5434401031112
635115250424
75540661445
oct1574513160
9538275387
10234002032
111100a7210
1266449a14
1339630a54
14231139cc
1515823e07
hexdf29670

234002032 has 40 divisors (see below), whose sum is σ = 496753920. Its totient is φ = 105900480.

The previous prime is 234002009. The next prime is 234002051. The reversal of 234002032 is 230200432.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 234001997 and 234002015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39283 + ... + 44845.

It is an arithmetic number, because the mean of its divisors is an integer number (12418848).

Almost surely, 2234002032 is an apocalyptic number.

234002032 is a gapful number since it is divisible by the number (22) 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 234002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248376960).

234002032 is an abundant number, since it is smaller than the sum of its proper divisors (262751888).

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

234002032 is a wasteful number, since it uses less digits than its factorization.

234002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234002032 is about 15297.1249586319. The cubic root of 234002032 is about 616.2257984837.

Adding to 234002032 its reverse (230200432), we get a palindrome (464202464).

The spelling of 234002032 in words is "two hundred thirty-four million, two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 3824 5258 5563 10516 11126 21032 22252 42064 44504 61193 89008 122386 244772 489544 979088 1329557 2659114 5318228 10636456 14625127 21272912 29250254 58500508 117001016 234002032