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33820969 = 7131931631
BaseRepresentation
bin1000000100000…
…1000100101001
32100122021122111
42001001010221
532124232334
63204522321
7560321260
oct201010451
970567574
1033820969
1118100216
12b3b03a1
137012210
1446c55d7
152e81064
hex2041129

33820969 has 32 divisors (see below), whose sum is σ = 45301760. Its totient is φ = 24494400.

The previous prime is 33820967. The next prime is 33820987. The reversal of 33820969 is 96902833.

It is not a de Polignac number, because 33820969 - 21 = 33820967 is a prime.

It is a super-2 number, since 2×338209692 = 2287715888197922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33820967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53284 + ... + 53914.

It is an arithmetic number, because the mean of its divisors is an integer number (1415680).

Almost surely, 233820969 is an apocalyptic number.

It is an amenable number.

33820969 is a deficient number, since it is larger than the sum of its proper divisors (11480791).

33820969 is a wasteful number, since it uses less digits than its factorization.

33820969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 33820969 is about 5815.5798507114. The cubic root of 33820969 is about 323.3915605862.

The spelling of 33820969 in words is "thirty-three million, eight hundred twenty thousand, nine hundred sixty-nine".

Divisors: 1 7 13 19 31 91 133 217 247 403 589 631 1729 2821 4123 4417 7657 8203 11989 19561 53599 57421 83923 136927 155857 254293 371659 1090999 1780051 2601613 4831567 33820969