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3422334432 = 2531119716451
BaseRepresentation
bin1100101111111100…
…1010110111100000
322211111201121021010
43023333022313200
524002104200212
61323332300520
7150544235256
oct31377126740
98744647233
103422334432
1114a6900570
127b6171740
1342704597a
142467425d6
151506ba03c
hexcbfcade0

3422334432 has 96 divisors (see below), whose sum is σ = 9850667904. Its totient is φ = 1031744000.

The previous prime is 3422334407. The next prime is 3422334437. The reversal of 3422334432 is 2344332243.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3422334432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422334437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 199807 + ... + 216257.

It is an arithmetic number, because the mean of its divisors is an integer number (102611124).

Almost surely, 23422334432 is an apocalyptic number.

3422334432 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 3422334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925333952).

3422334432 is an abundant number, since it is smaller than the sum of its proper divisors (6428333472).

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

3422334432 is a wasteful number, since it uses less digits than its factorization.

3422334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672 (or 16664 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

The square root of 3422334432 is about 58500.7216365747. The cubic root of 3422334432 is about 1506.9799780025.

Adding to 3422334432 its reverse (2344332243), we get a palindrome (5766666675).

The spelling of 3422334432 in words is "three billion, four hundred twenty-two million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 197 264 352 394 528 591 788 1056 1182 1576 2167 2364 3152 4334 4728 6304 6501 8668 9456 13002 16451 17336 18912 26004 32902 34672 49353 52008 65804 69344 98706 104016 131608 180961 197412 208032 263216 361922 394824 526432 542883 723844 789648 1085766 1447688 1579296 2171532 2895376 3240847 4343064 5790752 6481694 8686128 9722541 12963388 17372256 19445082 25926776 35649317 38890164 51853552 71298634 77780328 103707104 106947951 142597268 155560656 213895902 285194536 311121312 427791804 570389072 855583608 1140778144 1711167216 3422334432