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34072216068 = 2231117113134369
BaseRepresentation
bin11111101110110111…
…001100001000000100
310020221112212220122110
4133232313030020010
51024234441403233
623352541501020
72314225025622
oct375667141004
9106845786573
1034072216068
11134a4972260
12672a871770
13329cc4cbc7
1419131da512
15d463b6663
hex7eedcc204

34072216068 has 96 divisors (see below), whose sum is σ = 92644352640. Its totient is φ = 9631498240.

The previous prime is 34072216063. The next prime is 34072216091. The reversal of 34072216068 is 86061227043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34072216063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186388 + ... + 320756.

It is an arithmetic number, because the mean of its divisors is an integer number (965045340).

Almost surely, 234072216068 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 34072216068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46322176320).

34072216068 is an abundant number, since it is smaller than the sum of its proper divisors (58572136572).

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

34072216068 is a wasteful number, since it uses less digits than its factorization.

34072216068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134517 (or 134515 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 34072216068 in words is "thirty-four billion, seventy-two million, two hundred sixteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 113 132 187 204 226 339 374 452 561 678 748 1122 1243 1356 1921 2244 2486 3729 3842 4972 5763 7458 7684 11526 14916 21131 23052 42262 63393 84524 126786 134369 253572 268738 403107 537476 806214 1478059 1612428 2284273 2956118 4434177 4568546 5912236 6852819 8868354 9137092 13705638 15183697 17736708 25127003 27411276 30367394 45551091 50254006 60734788 75381009 91102182 100508012 150762018 167020667 182204364 258122849 301524036 334041334 501062001 516245698 668082668 774368547 1002124002 1032491396 1548737094 2004248004 2839351339 3097474188 5678702678 8518054017 11357405356 17036108034 34072216068