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10034333430 = 2351130407071
BaseRepresentation
bin10010101100001011…
…11100011011110110
3221220022100221201220
421112011330123312
5131022242132210
64335410331210
7503442266262
oct112605743366
927808327656
1010034333430
11428a135250
121b40589b06
13c3bb4ba04
146b293d0a2
153dade0c70
hex25617c6f6

10034333430 has 32 divisors (see below), whose sum is σ = 26271710208. Its totient is φ = 2432565600.

The previous prime is 10034333429. The next prime is 10034333459. The reversal of 10034333430 is 3433343001.

It is a super-4 number, since 4×100343334304 (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10034333430.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15203206 + ... + 15203865.

It is an arithmetic number, because the mean of its divisors is an integer number (820990944).

Almost surely, 210034333430 is an apocalyptic number.

10034333430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10034333430 is an abundant number, since it is smaller than the sum of its proper divisors (16237376778).

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

10034333430 is a wasteful number, since it uses less digits than its factorization.

10034333430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30407092.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 10034333430 its reverse (3433343001), we get a palindrome (13467676431).

The spelling of 10034333430 in words is "ten billion, thirty-four million, three hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 30407071 60814142 91221213 152035355 182442426 304070710 334477781 456106065 668955562 912212130 1003433343 1672388905 2006866686 3344777810 5017166715 10034333430