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3483341442 = 233722940241
BaseRepresentation
bin1100111110011111…
…1001001010000010
322222202112002011000
43033213321022002
524113213411232
61333352032430
7152214625260
oct31747711202
98882462130
103483341442
111528289a89
12812692716
134368860a9
142508a3430
15155c1b27c
hexcf9f9282

3483341442 has 64 divisors (see below), whose sum is σ = 8885433600. Its totient is φ = 990869760.

The previous prime is 3483341417. The next prime is 3483341461. The reversal of 3483341442 is 2441433843.

3483341442 is a `hidden beast` number, since 3 + 483 + 34 + 144 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3483341397 and 3483341406.

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 31 ways as a sum of consecutive naturals, for example, 66442 + ... + 106682.

It is an arithmetic number, because the mean of its divisors is an integer number (138834900).

Almost surely, 23483341442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483341442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442716800).

3483341442 is an abundant number, since it is smaller than the sum of its proper divisors (5402092158).

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

3483341442 is a wasteful number, since it uses less digits than its factorization.

3483341442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40488 (or 40482 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 3483341442 is about 59019.8393932074. The cubic root of 3483341442 is about 1515.8818354002.

The spelling of 3483341442 in words is "three billion, four hundred eighty-three million, three hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 14427 28854 40241 43281 80482 86562 120723 241446 281687 362169 563374 724338 845061 1086507 1690122 2173014 2535183 5070366 7605549 9215189 15211098 18430378 27645567 55291134 64506323 82936701 129012646 165873402 193518969 248810103 387037938 497620206 580556907 1161113814 1741670721 3483341442