Search a number
-
+
34047432 = 2333157627
BaseRepresentation
bin1000000111100…
…0010111001000
32101001210022000
42001320113020
532204004212
63213431000
7562253436
oct201702710
971053260
1034047432
1118245381
12b49b460
137091313
144743d56
152ec81dc
hex20785c8

34047432 has 32 divisors (see below), whose sum is σ = 94576800. Its totient is φ = 11349072.

The previous prime is 34047427. The next prime is 34047439. The reversal of 34047432 is 23474043.

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 = 34047396 and 34047405.

It is not an unprimeable number, because it can be changed into a prime (34047439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78598 + ... + 79029.

It is an arithmetic number, because the mean of its divisors is an integer number (2955525).

Almost surely, 234047432 is an apocalyptic number.

It is an amenable number.

34047432 is an abundant number, since it is smaller than the sum of its proper divisors (60529368).

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

34047432 is a wasteful number, since it uses less digits than its factorization.

34047432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157642 (or 157632 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 34047432 is about 5835.0177377622. The cubic root of 34047432 is about 324.1117584285. Note that the first 3 decimals are identical.

It can be divided in two parts, 3404743 and 2, that added together give a triangular number (3404745 = T2609).

The spelling of 34047432 in words is "thirty-four million, forty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 157627 315254 472881 630508 945762 1261016 1418643 1891524 2837286 3783048 4255929 5674572 8511858 11349144 17023716 34047432