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33970638 = 2313457953
BaseRepresentation
bin1000000110010…
…1100111001110
32100220212221210
42001211213032
532144030023
63212035250
7561513522
oct201454716
970825853
1033970638
11181a2709
12b462b26
137065390
144723d82
152eb0593
hex20659ce

33970638 has 32 divisors (see below), whose sum is σ = 73404576. Its totient is φ = 10418688.

The previous prime is 33970631. The next prime is 33970649. The reversal of 33970638 is 83607933.

It is a super-2 number, since 2×339706382 = 2308008492254088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33970596 and 33970605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33970631) 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, 35170 + ... + 36122.

It is an arithmetic number, because the mean of its divisors is an integer number (2293893).

Almost surely, 233970638 is an apocalyptic number.

33970638 is an abundant number, since it is smaller than the sum of its proper divisors (39433938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33970638 is a wasteful number, since it uses less digits than its factorization.

33970638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 33970638 is about 5828.4335803027. The cubic root of 33970638 is about 323.8678969152.

The spelling of 33970638 in words is "thirty-three million, nine hundred seventy thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 457 914 953 1371 1906 2742 2859 5718 5941 11882 12389 17823 24778 35646 37167 74334 435521 871042 1306563 2613126 5661773 11323546 16985319 33970638