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30034042002 = 234197941093
BaseRepresentation
bin11011111110001010…
…110001110010010010
32212112010100102020000
4123332022301302102
5443002203321002
621444125430430
72112162100446
oct337612616222
985463312200
1030034042002
1111812485318
1259a240b416
132aa8453ab3
14164cb8a826
15babb0061c
hex6fe2b1c92

30034042002 has 40 divisors (see below), whose sum is σ = 67640190156. Its totient is φ = 9960517728.

The previous prime is 30034041977. The next prime is 30034042033. The reversal of 30034042002 is 20024043003.

30034042002 is a `hidden beast` number, since 300 + 340 + 4 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26951460561 + 3082581441 = 164169^2 + 55521^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 438633 + ... + 502460.

Almost surely, 230034042002 is an apocalyptic number.

30034042002 is an abundant number, since it is smaller than the sum of its proper divisors (37606148154).

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

30034042002 is a wasteful number, since it uses less digits than its factorization.

30034042002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941304 (or 941295 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30034042002 its reverse (20024043003), we get a palindrome (50058085005).

The spelling of 30034042002 in words is "thirty billion, thirty-four million, forty-two thousand, two", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 591 1182 1773 3546 5319 10638 15957 31914 941093 1882186 2823279 5646558 8469837 16939674 25409511 50819022 76228533 152457066 185395321 370790642 556185963 1112371926 1668557889 3337115778 5005673667 10011347334 15017021001 30034042002