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33661397 = 7112383229
BaseRepresentation
bin1000000001101…
…0000111010101
32100100011202102
42000122013111
532104131042
63201251445
7556055120
oct200320725
970304672
1033661397
1118001340
12b333b85
136c876b3
1446833b7
152e4db32
hex201a1d5

33661397 has 32 divisors (see below), whose sum is σ = 44513280. Its totient is φ = 24678720.

The previous prime is 33661393. The next prime is 33661417. The reversal of 33661397 is 79316633.

It is a happy number.

It is not a de Polignac number, because 33661397 - 22 = 33661393 is a prime.

It is a super-2 number, since 2×336613972 = 2266179295983218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 33661397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33661393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146879 + ... + 147107.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 233661397 is an apocalyptic number.

It is an amenable number.

33661397 is a deficient number, since it is larger than the sum of its proper divisors (10851883).

33661397 is a wasteful number, since it uses less digits than its factorization.

33661397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its digits is 61236, while the sum is 38.

The square root of 33661397 is about 5801.8442757454. The cubic root of 33661397 is about 322.8821565914.

The spelling of 33661397 in words is "thirty-three million, six hundred sixty-one thousand, three hundred ninety-seven".

Divisors: 1 7 11 23 77 83 161 229 253 581 913 1603 1771 1909 2519 5267 6391 13363 17633 19007 20999 36869 57937 133049 146993 209077 405559 437161 1463539 3060127 4808771 33661397