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34230134032 = 2417317695279
BaseRepresentation
bin11111111000010001…
…100110010100010000
310021100120000222100221
4133320101212110100
51030100403242112
623420342322424
72321153224063
oct377021462420
9107316028327
1034230134032
1113576022376
126773729414
1332c6891aa3
14192a1868da
15d551abe07
hex7f8466510

34230134032 has 80 divisors (see below), whose sum is σ = 72595353600. Its totient is φ = 15565455360.

The previous prime is 34230133933. The next prime is 34230134033. The reversal of 34230134032 is 23043103243.

It is a junction number, because it is equal to n+sod(n) for n = 34230133988 and 34230134006.

It is not an unprimeable number, because it can be changed into a prime (34230134033) 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, 6481569 + ... + 6486847.

It is an arithmetic number, because the mean of its divisors is an integer number (907441920).

Almost surely, 234230134032 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 34230134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36297676800).

34230134032 is an abundant number, since it is smaller than the sum of its proper divisors (38365219568).

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

34230134032 is a wasteful number, since it uses less digits than its factorization.

34230134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34230134032 its reverse (23043103243), we get a palindrome (57273237275).

The spelling of 34230134032 in words is "thirty-four billion, two hundred thirty million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 769 1054 1538 2108 3076 4216 5279 6152 8432 10558 12304 13073 21116 23839 26146 42232 47678 52292 84464 89743 95356 104584 163649 179486 190712 209168 327298 358972 381424 405263 654596 717944 810526 1309192 1435888 1621052 2618384 2782033 3242104 4059551 5564066 6484208 8119102 11128132 16238204 22256264 32476408 44512528 64952816 69012367 125846081 138024734 251692162 276049468 503384324 552098936 1006768648 1104197872 2013537296 2139383377 4278766754 8557533508 17115067016 34230134032