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20334264 = 23331151181
BaseRepresentation
bin100110110010…
…0011010111000
31102021002100220
41031210122320
520201144024
62003500040
7334560366
oct115443270
942232326
1020334264
1110529485
126987620
13429c612
1429b4636
151bb9e79
hex13646b8

20334264 has 64 divisors (see below), whose sum is σ = 53114880. Its totient is φ = 6480000.

The previous prime is 20334257. The next prime is 20334271. The reversal of 20334264 is 46243302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20334257) and next prime (20334271).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112254 + ... + 112434.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 220334264 is an apocalyptic number.

20334264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557440).

20334264 is an abundant number, since it is smaller than the sum of its proper divisors (32780616).

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

20334264 is a wasteful number, since it uses less digits than its factorization.

20334264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 20334264 is about 4509.3529469315. The cubic root of 20334264 is about 272.9456344936.

Adding to 20334264 its reverse (46243302), we get a palindrome (66577566).

The spelling of 20334264 in words is "twenty million, three hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 181 186 248 302 362 372 453 543 604 724 744 906 1086 1208 1448 1812 2172 3624 4344 4681 5611 9362 11222 14043 16833 18724 22444 27331 28086 33666 37448 44888 54662 56172 67332 81993 109324 112344 134664 163986 218648 327972 655944 847261 1694522 2541783 3389044 5083566 6778088 10167132 20334264