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20374302 = 2313271283
BaseRepresentation
bin100110110111…
…0001100011110
31102100010021210
41031232030132
520203434202
62004405250
7335115204
oct115561436
942303253
1020374302
1110556573
1269a6826
1342b4900
1429c5074
151bc6c6c
hex136e31e

20374302 has 48 divisors (see below), whose sum is σ = 44903808. Its totient is φ = 6158880.

The previous prime is 20374301. The next prime is 20374339. The reversal of 20374302 is 20347302.

It is a happy number.

It is a super-2 number, since 2×203743022 = 830224363974408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20374301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71853 + ... + 72135.

It is an arithmetic number, because the mean of its divisors is an integer number (935496).

Almost surely, 220374302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20374302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22451904).

20374302 is an abundant number, since it is smaller than the sum of its proper divisors (24529506).

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

20374302 is a wasteful number, since it uses less digits than its factorization.

20374302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 20374302 is about 4513.7902033657. The cubic root of 20374302 is about 273.1246596215.

Subtracting from 20374302 its reverse (20347302), we obtain a cube (27000 = 303).

The spelling of 20374302 in words is "twenty million, three hundred seventy-four thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 283 338 426 507 566 849 923 1014 1698 1846 2769 3679 5538 7358 11037 11999 20093 22074 23998 35997 40186 47827 60279 71994 95654 120558 143481 261209 286962 522418 783627 1567254 3395717 6791434 10187151 20374302