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33420431 = 1147127509
BaseRepresentation
bin111111101111…
…1010010001111
32022212221012202
41333133102033
532023423211
63152152115
7554032442
oct177372217
968787182
1033420431
11179572a0
12b23863b
136c01b05
14461d659
152e0253b
hex1fdf48f

33420431 has 16 divisors (see below), whose sum is σ = 37601280. Its totient is φ = 29443680.

The previous prime is 33420407. The next prime is 33420451. The reversal of 33420431 is 13402433.

It is a de Polignac number, because none of the positive numbers 2k-33420431 is a prime.

It is a super-2 number, since 2×334204312 = 2233850416451522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65405 + ... + 65913.

It is an arithmetic number, because the mean of its divisors is an integer number (2350080).

Almost surely, 233420431 is an apocalyptic number.

33420431 is a deficient number, since it is larger than the sum of its proper divisors (4180849).

33420431 is a wasteful number, since it uses less digits than its factorization.

33420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 33420431 is about 5781.0406502636. The cubic root of 33420431 is about 322.1098573241.

Adding to 33420431 its reverse (13402433), we get a palindrome (46822864).

The spelling of 33420431 in words is "thirty-three million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 11 47 127 509 517 1397 5599 5969 23923 64643 65659 263153 711073 3038221 33420431