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34422432 = 2531137881
BaseRepresentation
bin1000001101001…
…1111010100000
32101202211200220
42003103322200
532303004212
63225443040
7565404642
oct203237240
971684626
1034422432
11184810a0
12b640480
137192c05
144800892
15304e38c
hex20d3ea0

34422432 has 96 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 10137600.

The previous prime is 34422419. The next prime is 34422457. The reversal of 34422432 is 23422443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38632 + ... + 39512.

It is an arithmetic number, because the mean of its divisors is an integer number (1055754).

Almost surely, 234422432 is an apocalyptic number.

34422432 is a gapful number since it is divisible by the number (32) 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 34422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

34422432 is an abundant number, since it is smaller than the sum of its proper divisors (66929952).

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

34422432 is a wasteful number, since it uses less digits than its factorization.

34422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 34422432 is about 5867.0633199242. The cubic root of 34422432 is about 325.2973436554.

Adding to 34422432 its reverse (23422443), we get a palindrome (57844875).

The spelling of 34422432 in words is "thirty-four million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 881 888 1056 1184 1221 1628 1762 1776 2442 2643 3256 3524 3552 4884 5286 6512 7048 9691 9768 10572 13024 14096 19382 19536 21144 28192 29073 32597 38764 39072 42288 58146 65194 77528 84576 97791 116292 130388 155056 195582 232584 260776 310112 358567 391164 465168 521552 717134 782328 930336 1043104 1075701 1434268 1564656 2151402 2868536 3129312 4302804 5737072 8605608 11474144 17211216 34422432