Search a number
-
+
34368007068 = 22322958756081
BaseRepresentation
bin100000000000011111…
…100010101110011100
310021201011110122121200
4200000133202232130
51030341202211233
623442145355500
72324446145223
oct400037425634
9107634418550
1034368007068
111363693142a
1267b1938b90
133319305c75
1419405d5cba
15d62343313
hex8007e2b9c

34368007068 has 72 divisors (see below), whose sum is σ = 90025069680. Its totient is φ = 11041927680.

The previous prime is 34368007067. The next prime is 34368007099. The reversal of 34368007068 is 86070086343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34368007067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584788 + ... + 640868.

It is an arithmetic number, because the mean of its divisors is an integer number (1250348190).

Almost surely, 234368007068 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 34368007068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012534840).

34368007068 is an abundant number, since it is smaller than the sum of its proper divisors (55657062612).

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

34368007068 is a wasteful number, since it uses less digits than its factorization.

34368007068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56707 (or 56702 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34368007068 in words is "thirty-four billion, three hundred sixty-eight million, seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 587 1044 1174 1761 2348 3522 5283 7044 10566 17023 21132 34046 51069 56081 68092 102138 112162 153207 168243 204276 224324 306414 336486 504729 612828 672972 1009458 1626349 2018916 3252698 4879047 6505396 9758094 14637141 19516188 29274282 32919547 58548564 65839094 98758641 131678188 197517282 296275923 395034564 592551846 954666863 1185103692 1909333726 2864000589 3818667452 5728001178 8592001767 11456002356 17184003534 34368007068