Search a number
-
+
34729938 = 2331793593
BaseRepresentation
bin1000010001111…
…0111111010010
32102100110112000
42010132333102
532342324223
63240214430
7601125315
oct204367722
972313460
1034729938
1118671131
12b76a416
13726cb79
14488097c
1530b0543
hex211efd2

34729938 has 32 divisors (see below), whose sum is σ = 77630400. Its totient is φ = 11508768.

The previous prime is 34729927. The next prime is 34729943. The reversal of 34729938 is 83992743.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34729893 and 34729902.

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, 7870 + ... + 11462.

It is an arithmetic number, because the mean of its divisors is an integer number (2425950).

Almost surely, 234729938 is an apocalyptic number.

34729938 is an abundant number, since it is smaller than the sum of its proper divisors (42900462).

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

34729938 is a wasteful number, since it uses less digits than its factorization.

34729938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3777 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 34729938 is about 5893.2111789753. The cubic root of 34729938 is about 326.2631333067.

The spelling of 34729938 in words is "thirty-four million, seven hundred twenty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 179 358 537 1074 1611 3222 3593 4833 7186 9666 10779 21558 32337 64674 97011 194022 643147 1286294 1929441 3858882 5788323 11576646 17364969 34729938