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34468452270 = 23257443123503
BaseRepresentation
bin100000000110011110…
…101101011110101110
310021222011110210112100
4200012132231132232
51031042410433040
623500134315530
72330106003330
oct400636553656
9107864423470
1034468452270
11136885a739a
12681b4b8ba6
1333340742b5
14194daa1450
15d6b084b30
hex8067ad7ae

34468452270 has 96 divisors (see below), whose sum is σ = 102652572672. Its totient is φ = 7860655296.

The previous prime is 34468452247. The next prime is 34468452287. The reversal of 34468452270 is 7225486443.

It is a happy number.

34468452270 is a `hidden beast` number, since 3 + 4 + 46 + 84 + 522 + 7 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217339 + ... + 340841.

It is an arithmetic number, because the mean of its divisors is an integer number (1069297632).

Almost surely, 234468452270 is an apocalyptic number.

34468452270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34468452270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51326286336).

34468452270 is an abundant number, since it is smaller than the sum of its proper divisors (68184120402).

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

34468452270 is a wasteful number, since it uses less digits than its factorization.

34468452270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123966 (or 123963 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 34468452270 in words is "thirty-four billion, four hundred sixty-eight million, four hundred fifty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 443 630 886 1329 2215 2658 3101 3987 4430 6202 6645 7974 9303 13290 15505 18606 19935 27909 31010 39870 46515 55818 93030 123503 139545 247006 279090 370509 617515 741018 864521 1111527 1235030 1729042 1852545 2223054 2593563 3705090 4322605 5187126 5557635 7780689 8645210 11115270 12967815 15561378 25935630 38903445 54711829 77806890 109423658 164135487 273559145 328270974 382982803 492406461 547118290 765965606 820677435 984812922 1148948409 1641354870 1914914015 2297896818 2462032305 3446845227 3829828030 4924064610 5744742045 6893690454 11489484090 17234226135 34468452270