Search a number
-
+
34738249924 = 2272133132
BaseRepresentation
bin100000010110100011…
…111010000011000100
310022122222010221100001
4200112203322003010
51032120442444144
623543013131044
72336563152400
oct402643720304
9108588127301
1034738249924
1113806922364
126895929a84
133377c28c91
141977852100
15d84ac9bd4
hex8168fa0c4

34738249924 has 27 divisors (see below), whose sum is σ = 70722463917. Its totient is φ = 14886703104.

The previous prime is 34738249919. The next prime is 34738249937. The reversal of 34738249924 is 42994283743.

The square root of 34738249924 is 186382.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12247848900 + 22490401024 = 110670^2 + 149968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2602692 + ... + 2616004.

Almost surely, 234738249924 is an apocalyptic number.

34738249924 is the 186382-nd square number.

It is an amenable number.

34738249924 is an abundant number, since it is smaller than the sum of its proper divisors (35984213993).

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

34738249924 is an frugal number, since it uses more digits than its factorization.

34738249924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26644 (or 13322 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 55.

The spelling of 34738249924 in words is "thirty-four billion, seven hundred thirty-eight million, two hundred forty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 13313 26626 53252 93191 186382 372764 652337 1304674 2609348 177235969 354471938 708943876 1240651783 2481303566 4962607132 8684562481 17369124962 34738249924