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20278434 = 231119103157
BaseRepresentation
bin100110101011…
…0110010100010
31102011020210010
41031112302202
520142402214
62002345350
7334235541
oct115266242
942136703
1020278434
11104a0540
12695b256
134280097
14299c158
151ba8659
hex1356ca2

20278434 has 64 divisors (see below), whose sum is σ = 47324160. Its totient is φ = 5728320.

The previous prime is 20278411. The next prime is 20278441. The reversal of 20278434 is 43487202.

It is a super-2 number, since 2×202784342 = 822429770984712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129084 + ... + 129240.

It is an arithmetic number, because the mean of its divisors is an integer number (739440).

Almost surely, 220278434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20278434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662080).

20278434 is an abundant number, since it is smaller than the sum of its proper divisors (27045726).

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

20278434 is a wasteful number, since it uses less digits than its factorization.

20278434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 20278434 is about 4503.1582250683. The cubic root of 20278434 is about 272.6956045856.

The spelling of 20278434 in words is "twenty million, two hundred seventy-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 103 114 157 206 209 309 314 418 471 618 627 942 1133 1254 1727 1957 2266 2983 3399 3454 3914 5181 5871 5966 6798 8949 10362 11742 16171 17898 21527 32342 32813 43054 48513 64581 65626 97026 98439 129162 177881 196878 307249 355762 533643 614498 921747 1067286 1843494 3379739 6759478 10139217 20278434