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33990993 = 3210693533
BaseRepresentation
bin1000000110101…
…0100101010001
32100221220212200
42001222211101
532200202433
63212313413
7561630051
oct201524521
970856780
1033990993
1118206a33
12b472869
13707171a
14472b561
152eb6613
hex206a951

33990993 has 12 divisors (see below), whose sum is σ = 49157940. Its totient is φ = 22633056.

The previous prime is 33990989. The next prime is 33990997. The reversal of 33990993 is 39909933.

It is an interprime number because it is at equal distance from previous prime (33990989) and next prime (33990997).

It can be written as a sum of positive squares in 2 ways, for example, as 22212369 + 11778624 = 4713^2 + 3432^2 .

It is not a de Polignac number, because 33990993 - 22 = 33990989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33990997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7855 + ... + 11387.

It is an arithmetic number, because the mean of its divisors is an integer number (4096495).

Almost surely, 233990993 is an apocalyptic number.

It is an amenable number.

33990993 is a deficient number, since it is larger than the sum of its proper divisors (15166947).

33990993 is a wasteful number, since it uses less digits than its factorization.

33990993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 177147, while the sum is 45.

The square root of 33990993 is about 5830.1794998096. The cubic root of 33990993 is about 323.9325705586.

The spelling of 33990993 in words is "thirty-three million, nine hundred ninety thousand, nine hundred ninety-three".

Divisors: 1 3 9 1069 3207 3533 9621 10599 31797 3776777 11330331 33990993