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34740759132 = 22323797268883
BaseRepresentation
bin100000010110101101…
…011110101001011100
310022200010212102022200
4200112231132221130
51032122113243012
623543143011500
72336623403022
oct402655365134
9108603772280
1034740759132
1113808286592
126896739b90
1333785c7111
141977d06712
15d84e233dc
hex816b5ea5c

34740759132 has 72 divisors (see below), whose sum is σ = 91120485456. Its totient is φ = 11151074304.

The previous prime is 34740759103. The next prime is 34740759143. The reversal of 34740759132 is 23195704743.

34740759132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5238 + ... + 263645.

It is an arithmetic number, because the mean of its divisors is an integer number (1265562298).

Almost surely, 234740759132 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 34740759132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45560242728).

34740759132 is an abundant number, since it is smaller than the sum of its proper divisors (56379726324).

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

34740759132 is a wasteful number, since it uses less digits than its factorization.

34740759132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269027 (or 269022 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 34740759132 in words is "thirty-four billion, seven hundred forty million, seven hundred fifty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 97 111 148 194 222 291 333 388 444 582 666 873 1164 1332 1746 3492 3589 7178 10767 14356 21534 32301 43068 64602 129204 268883 537766 806649 1075532 1613298 2419947 3226596 4839894 9679788 9948671 19897342 26081651 29846013 39794684 52163302 59692026 78244953 89538039 104326604 119384052 156489906 179076078 234734859 312979812 358152156 469469718 938939436 965021087 1930042174 2895063261 3860084348 5790126522 8685189783 11580253044 17370379566 34740759132