Search a number
-
+
34420738032 = 24321714060759
BaseRepresentation
bin100000000011101000…
…101100011111110000
310021211211200122220100
4200003220230133300
51030443202104112
623451311512400
72325656305632
oct400350543760
9107754618810
1034420738032
1113663677a3a
126807528700
133327209415
141947600a52
15d66cac2dc
hex803a2c7f0

34420738032 has 60 divisors (see below), whose sum is σ = 101996753040. Its totient is φ = 10798662144.

The previous prime is 34420738003. The next prime is 34420738043. The reversal of 34420738032 is 23083702443.

34420738032 is a `hidden beast` number, since 3 + 44 + 207 + 380 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7027932 + ... + 7032827.

It is an arithmetic number, because the mean of its divisors is an integer number (1699945884).

Almost surely, 234420738032 is an apocalyptic number.

It is an amenable number.

34420738032 is an abundant number, since it is smaller than the sum of its proper divisors (67576015008).

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

34420738032 is a wasteful number, since it uses less digits than its factorization.

34420738032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14060790 (or 14060781 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34420738032 in words is "thirty-four billion, four hundred twenty million, seven hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 14060759 28121518 42182277 56243036 84364554 112486072 126546831 168729108 224972144 239032903 253093662 337458216 478065806 506187324 674916432 717098709 956131612 1012374648 1434197418 1912263224 2024749296 2151296127 2868394836 3824526448 4302592254 5736789672 8605184508 11473579344 17210369016 34420738032