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3442332432 = 2437116713901
BaseRepresentation
bin1100110100101101…
…1101001100010000
322212220100121100210
43031023131030100
524022214114212
61325325044120
7151206225420
oct31513351420
98786317323
103442332432
11150711a340
128009b6640
1342b2281c6
1424926a480
1515231a53c
hexcd2dd310

3442332432 has 160 divisors (see below), whose sum is σ = 11253279744. Its totient is φ = 880704000.

The previous prime is 3442332427. The next prime is 3442332463. The reversal of 3442332432 is 2342332443.

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 3442332432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240682 + ... + 254582.

Almost surely, 23442332432 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 3442332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626639872).

3442332432 is an abundant number, since it is smaller than the sum of its proper divisors (7810947312).

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

3442332432 is a wasteful number, since it uses less digits than its factorization.

3442332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13997 (or 13991 counting only the distinct ones).

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

The square root of 3442332432 is about 58671.3936428989. The cubic root of 3442332432 is about 1509.9095646319.

Adding to 3442332432 its reverse (2342332443), we get a palindrome (5784664875).

The spelling of 3442332432 in words is "three billion, four hundred forty-two million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 67 77 84 88 112 132 134 154 168 176 201 231 264 268 308 336 402 462 469 528 536 616 737 804 924 938 1072 1232 1407 1474 1608 1848 1876 2211 2814 2948 3216 3696 3752 4422 5159 5628 5896 7504 8844 10318 11256 11792 13901 15477 17688 20636 22512 27802 30954 35376 41272 41703 55604 61908 82544 83406 97307 111208 123816 152911 166812 194614 222416 247632 291921 305822 333624 389228 458733 583842 611644 667248 778456 917466 931367 1070377 1167684 1223288 1556912 1834932 1862734 2140754 2335368 2446576 2794101 3211131 3669864 3725468 4281508 4670736 5588202 6422262 6519569 7339728 7450936 8563016 10245037 11176404 12844524 13039138 14901872 17126032 19558707 20490074 22352808 25689048 26078276 30735111 39117414 40980148 44705616 51378096 52156552 61470222 71715259 78234828 81960296 104313104 122940444 143430518 156469656 163920592 215145777 245880888 286861036 312939312 430291554 491761776 573722072 860583108 1147444144 1721166216 3442332432