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3442341312 = 263259101293
BaseRepresentation
bin1100110100101101…
…1111010111000000
322212220101001112200
43031023133113000
524022214410222
61325325153200
7151206263334
oct31513372700
98786331480
103442341312
111507125a83
128009bb800
1342b22c267
1424926d7c4
1515231ceac
hexcd2df5c0

3442341312 has 84 divisors (see below), whose sum is σ = 10034183640. Its totient is φ = 1127987712.

The previous prime is 3442341293. The next prime is 3442341313. The reversal of 3442341312 is 2131432443.

3442341312 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 341 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442341313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16663 + ... + 84630.

Almost surely, 23442341312 is an apocalyptic number.

3442341312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3442341312 is an abundant number, since it is smaller than the sum of its proper divisors (6591842328).

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

3442341312 is a wasteful number, since it uses less digits than its factorization.

3442341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101370 (or 101357 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3442341312 is about 58671.4693185708. The cubic root of 3442341312 is about 1509.9108629750.

Adding to 3442341312 its reverse (2131432443), we get a palindrome (5573773755).

The spelling of 3442341312 in words is "three billion, four hundred forty-two million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 101293 202586 303879 405172 607758 810344 911637 1215516 1620688 1823274 2431032 3241376 3646548 4862064 5976287 6482752 7293096 9724128 11952574 14586192 17928861 19448256 23905148 29172384 35857722 47810296 53786583 58344768 71715444 95620592 107573166 143430888 191241184 215146332 286861776 382482368 430292664 573723552 860585328 1147447104 1721170656 3442341312