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33630337 = 136142409
BaseRepresentation
bin1000000001001…
…0100010000001
32100021121011001
42000102202001
532102132322
63200452001
7555565426
oct200224201
970247131
1033630337
1117a8aa74
12b31a001
136c76510
144675d4d
152e44827
hex2012881

33630337 has 8 divisors (see below), whose sum is σ = 36811880. Its totient is φ = 30533760.

The previous prime is 33630329. The next prime is 33630353. The reversal of 33630337 is 73303633.

It is a happy number.

It is the 2368-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 33628401 = 44^2 + 5799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33630337 - 23 = 33630329 is a prime.

It is a super-2 number, since 2×336303372 = 2261999133467138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33630307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20412 + ... + 21997.

It is an arithmetic number, because the mean of its divisors is an integer number (4601485).

Almost surely, 233630337 is an apocalyptic number.

It is an amenable number.

33630337 is a deficient number, since it is larger than the sum of its proper divisors (3181543).

33630337 is a wasteful number, since it uses less digits than its factorization.

33630337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42483.

The product of its (nonzero) digits is 10206, while the sum is 28.

The square root of 33630337 is about 5799.1669229295. The cubic root of 33630337 is about 322.7828162310.

The spelling of 33630337 in words is "thirty-three million, six hundred thirty thousand, three hundred thirty-seven".

Divisors: 1 13 61 793 42409 551317 2586949 33630337