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34147867348 = 2272318096947
BaseRepresentation
bin11111110011010111…
…110001101011010100
310021010211020101200201
4133303113301223110
51024413323223343
623404243150244
72316134040400
oct376327615324
9107124211621
1034147867348
1113533643181
126750075384
1332b2819a8a
14191d290100
15d4cd5b94d
hex7f35f1ad4

34147867348 has 72 divisors (see below), whose sum is σ = 71856771840. Its totient is φ = 14143167360.

The previous prime is 34147867289. The next prime is 34147867349. The reversal of 34147867348 is 84376874143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34147867349) 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, 4912011 + ... + 4918957.

It is an arithmetic number, because the mean of its divisors is an integer number (998010720).

Almost surely, 234147867348 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 34147867348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35928385920).

34147867348 is an abundant number, since it is smaller than the sum of its proper divisors (37708904492).

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

34147867348 is a wasteful number, since it uses less digits than its factorization.

34147867348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7796 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 55.

The spelling of 34147867348 in words is "thirty-four billion, one hundred forty-seven million, eight hundred sixty-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 809 868 1519 1618 3038 3236 5663 6076 6947 11326 13894 22652 25079 27788 39641 48629 50158 79282 97258 100316 158564 175553 194516 215357 340403 351106 430714 680806 702212 861428 1228871 1361612 1507499 2457742 3014998 4915484 5620123 6029996 10552493 11240246 21104986 22480492 39340861 42209972 78681722 157363444 174223813 275386027 348447626 550772054 696895252 1101544108 1219566691 2439133382 4878266764 8536966837 17073933674 34147867348