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34071327556 = 22729281149323
BaseRepresentation
bin11111101110110011…
…110011001101000100
310020221111012202211121
4133232303303031010
51024234224440211
623352510443324
72314214335330
oct375663631504
9106844182747
1034071327556
11134a4415752
12672a503544
13329c9cb666
1419130487c0
15d4628d271
hex7eecf3344

34071327556 has 48 divisors (see below), whose sum is σ = 70743738240. Its totient is φ = 14048213760.

The previous prime is 34071327553. The next prime is 34071327569. The reversal of 34071327556 is 65572317043.

It is a super-2 number, since 2×340713275562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34071327553) 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, 153511 + ... + 302833.

It is an arithmetic number, because the mean of its divisors is an integer number (1473827880).

Almost surely, 234071327556 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 34071327556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35371869120).

34071327556 is an abundant number, since it is smaller than the sum of its proper divisors (36672410684).

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

34071327556 is a wasteful number, since it uses less digits than its factorization.

34071327556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149644 (or 149642 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 43.

The spelling of 34071327556 in words is "thirty-four billion, seventy-one million, three hundred twenty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 58 116 203 281 406 562 812 1124 1967 3934 7868 8149 16298 32596 57043 114086 149323 228172 298646 597292 1045261 2090522 4181044 4330367 8660734 17321468 30312569 41959763 60625138 83919526 121250276 167839052 293718341 587436682 1174873364 1216833127 2433666254 4867332508 8517831889 17035663778 34071327556