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20311434 = 23211132607
BaseRepresentation
bin100110101111…
…0110110001010
31102012221001100
41031132312022
520144431214
62003202230
7334434003
oct115366612
942187040
1020311434
1110513310
126976376
134292100
1429aa1aa
151bb3309
hex135ed8a

20311434 has 72 divisors (see below), whose sum is σ = 52071552. Its totient is φ = 5672160.

The previous prime is 20311433. The next prime is 20311439. The reversal of 20311434 is 43411302.

It is a super-2 number, since 2×203114342 = 825108702272712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20311433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33159 + ... + 33765.

It is an arithmetic number, because the mean of its divisors is an integer number (723216).

Almost surely, 220311434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035776).

20311434 is an abundant number, since it is smaller than the sum of its proper divisors (31760118).

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

20311434 is a wasteful number, since it uses less digits than its factorization.

20311434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20311434 is about 4506.8208306965. The cubic root of 20311434 is about 272.8434476569.

Adding to 20311434 its reverse (43411302), we get a palindrome (63722736).

The spelling of 20311434 in words is "twenty million, three hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 607 858 1014 1214 1287 1521 1821 1859 2574 3042 3642 3718 5463 5577 6677 7891 10926 11154 13354 15782 16731 20031 23673 33462 40062 47346 60093 71019 86801 102583 120186 142038 173602 205166 260403 307749 520806 615498 781209 923247 1128413 1562418 1846494 2256826 3385239 6770478 10155717 20311434