Search a number
-
+
34210631640 = 23351915004663
BaseRepresentation
bin11111110111000111…
…001100111111011000
310021022012100011010010
4133313013030333120
51030030410203030
623414404321520
72320525366563
oct376707147730
9107265304103
1034210631640
1113566011999
1267690a32a0
1332c2824003
14192774b4da
15d536086b0
hex7f71ccfd8

34210631640 has 64 divisors (see below), whose sum is σ = 108033580800. Its totient is φ = 8642685312.

The previous prime is 34210631639. The next prime is 34210631657. The reversal of 34210631640 is 4613601243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34210631598 and 34210631607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7500052 + ... + 7504611.

It is an arithmetic number, because the mean of its divisors is an integer number (1688024700).

Almost surely, 234210631640 is an apocalyptic number.

34210631640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34210631640 is an abundant number, since it is smaller than the sum of its proper divisors (73822949160).

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

34210631640 is a wasteful number, since it uses less digits than its factorization.

34210631640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004696 (or 15004692 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 34210631640 in words is "thirty-four billion, two hundred ten million, six hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 15004663 30009326 45013989 60018652 75023315 90027978 120037304 150046630 180055956 225069945 285088597 300093260 360111912 450139890 570177194 600186520 855265791 900279780 1140354388 1425442985 1710531582 1800559560 2280708776 2850885970 3421063164 4276328955 5701771940 6842126328 8552657910 11403543880 17105315820 34210631640