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32134404324 = 223117110333289
BaseRepresentation
bin11101111011010111…
…000001100011100100
310001221111112212200010
4131323113001203210
51011302401414244
622432355450220
72215214633661
oct357327014344
9101844485603
1032134404324
11126a0040650
1262898b6970
13305163a839
1417abacca68
15c811d9eb9
hex77b5c18e4

32134404324 has 96 divisors (see below), whose sum is σ = 83756574720. Its totient is φ = 9507052800.

The previous prime is 32134404317. The next prime is 32134404331. The reversal of 32134404324 is 42340443123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32134404317) and next prime (32134404331).

It is a junction number, because it is equal to n+sod(n) for n = 32134404291 and 32134404300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948672 + ... + 981960.

It is an arithmetic number, because the mean of its divisors is an integer number (872464320).

Almost surely, 232134404324 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 32134404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41878287360).

32134404324 is an abundant number, since it is smaller than the sum of its proper divisors (51622170396).

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

32134404324 is a wasteful number, since it uses less digits than its factorization.

32134404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33481 (or 33479 counting only the distinct ones).

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

Adding to 32134404324 its reverse (42340443123), we get a palindrome (74474847447).

The spelling of 32134404324 in words is "thirty-two billion, one hundred thirty-four million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 103 132 142 206 213 284 309 412 426 618 781 852 1133 1236 1562 2266 2343 3124 3399 4532 4686 6798 7313 9372 13596 14626 21939 29252 33289 43878 66578 80443 87756 99867 133156 160886 199734 241329 321772 366179 399468 482658 732358 965316 1098537 1464716 2197074 2363519 3428767 4394148 4727038 6857534 7090557 9454076 10286301 13715068 14181114 20572602 25998709 28362228 37716437 41145204 51997418 75432874 77996127 103994836 113149311 150865748 155992254 226298622 243442457 311984508 452597244 486884914 730327371 973769828 1460654742 2677867027 2921309484 5355734054 8033601081 10711468108 16067202162 32134404324