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34345062064 = 2423597432129
BaseRepresentation
bin11111111111001000…
…000000111010110000
310021122120021220222201
4133333020000322300
51030314313441224
623440005512544
72324050132165
oct377710007260
9107576256881
1034345062064
111362498a515
1267a6112754
133314631241
14193b54206c
15d6030ea44
hex7ff200eb0

34345062064 has 80 divisors (see below), whose sum is σ = 70741900800. Its totient is φ = 16118187008.

The previous prime is 34345062061. The next prime is 34345062083. The reversal of 34345062064 is 46026054343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34345062061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16130952 + ... + 16133080.

It is an arithmetic number, because the mean of its divisors is an integer number (884273760).

Almost surely, 234345062064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345062064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35370950400).

34345062064 is an abundant number, since it is smaller than the sum of its proper divisors (36396838736).

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

34345062064 is a wasteful number, since it uses less digits than its factorization.

34345062064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 34345062064 in words is "thirty-four billion, three hundred forty-five million, sixty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 743 944 1357 1486 2129 2714 2972 4258 5428 5944 8516 10856 11888 17032 17089 21712 34064 34178 43837 48967 68356 87674 97934 125611 136712 175348 195868 251222 273424 350696 391736 502444 701392 783472 1004888 1008251 1581847 2009776 2016502 2889053 3163694 4033004 5778106 6327388 8066008 11556212 12654776 16132016 23112424 25309552 36382481 46224848 72764962 93328973 145529924 186657946 291059848 373315892 582119696 746631784 1493263568 2146566379 4293132758 8586265516 17172531032 34345062064