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3342442432 = 267232271429
BaseRepresentation
bin1100011100111001…
…1001111111000000
322121221101200001011
43013032121333000
523321131124212
61311400050304
7145554202060
oct30716317700
98557350034
103342442432
1114657a351a
12793463994
134136227b4
14239ca73a0
151486884a7
hexc7399fc0

3342442432 has 112 divisors (see below), whose sum is σ = 7950159360. Its totient is φ = 1363203072.

The previous prime is 3342442429. The next prime is 3342442457. The reversal of 3342442432 is 2342442433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33424424322 = 22343842822468149248, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3342442394 and 3342442403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338294 + ... + 2339722.

Almost surely, 23342442432 is an apocalyptic number.

3342442432 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 3342442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975079680).

3342442432 is an abundant number, since it is smaller than the sum of its proper divisors (4607716928).

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

3342442432 is a wasteful number, since it uses less digits than its factorization.

3342442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1688 counting only the distinct ones).

The product of its digits is 55296, while the sum is 31.

The square root of 3342442432 is about 57813.8602067013. The cubic root of 3342442432 is about 1495.1610631721.

Adding to 3342442432 its reverse (2342442433), we get a palindrome (5684884865).

Subtracting from 3342442432 its reverse (2342442433), we obtain a palindrome (999999999).

The spelling of 3342442432 in words is "three billion, three hundred forty-two million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 227 322 368 448 454 644 736 908 1288 1429 1472 1589 1816 2576 2858 3178 3632 5152 5221 5716 6356 7264 10003 10304 10442 11432 12712 14528 20006 20884 22864 25424 32867 36547 40012 41768 45728 50848 65734 73094 80024 83536 91456 101696 131468 146188 160048 167072 230069 262936 292376 320096 324383 334144 460138 525872 584752 640192 648766 920276 1051744 1169504 1297532 1840552 2103488 2270681 2339008 2595064 3681104 4541362 5190128 7362208 7460809 9082724 10380256 14724416 14921618 18165448 20760512 29843236 36330896 52225663 59686472 72661792 104451326 119372944 145323584 208902652 238745888 417805304 477491776 835610608 1671221216 3342442432