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20842434 = 234128657
BaseRepresentation
bin100111110000…
…0011111000010
31110012220110000
41033200133002
520313424214
62022420430
7342105054
oct117403702
943186400
1020842434
1110846258
126b91716
134419a02
142aa78d4
151c6a809
hex13e07c2

20842434 has 20 divisors (see below), whose sum is σ = 46702854. Its totient is φ = 6947424.

The previous prime is 20842429. The next prime is 20842441. The reversal of 20842434 is 43424802.

It is a happy number.

20842434 is a `hidden beast` number, since 208 + 424 + 34 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18896409 + 1946025 = 4347^2 + 1395^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20842398 and 20842407.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64167 + ... + 64490.

Almost surely, 220842434 is an apocalyptic number.

20842434 is an abundant number, since it is smaller than the sum of its proper divisors (25860420).

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

20842434 is a wasteful number, since it uses less digits than its factorization.

20842434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128671 (or 128662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 20842434 is about 4565.3514651120. The cubic root of 20842434 is about 275.2006645609.

The spelling of 20842434 in words is "twenty million, eight hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 128657 257314 385971 771942 1157913 2315826 3473739 6947478 10421217 20842434