Search a number
-
+
34233031460 = 22519326932969
BaseRepresentation
bin11111111000011100…
…101001101100100100
310021100202111011220002
4133320130221230210
51030102124001320
623420524400432
72321216652305
oct377034515444
9107322434802
1034233031460
1113577721241
1267746a6118
1332c7367844
14192a6dc7ac
15d55580675
hex7f8729b24

34233031460 has 48 divisors (see below), whose sum is σ = 72532681200. Its totient is φ = 13571211264.

The previous prime is 34233031439. The next prime is 34233031471. The reversal of 34233031460 is 6413033243.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8834872036 + 25398159424 = 93994^2 + 159368^2 .

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 15 ways as a sum of consecutive naturals, for example, 1021856 + ... + 1054824.

It is an arithmetic number, because the mean of its divisors is an integer number (1511097525).

Almost surely, 234233031460 is an apocalyptic number.

It is an amenable number.

34233031460 is an abundant number, since it is smaller than the sum of its proper divisors (38299649740).

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

34233031460 is a wasteful number, since it uses less digits than its factorization.

34233031460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33440 (or 33438 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The spelling of 34233031460 in words is "thirty-four billion, two hundred thirty-three million, thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 193 269 386 538 772 965 1076 1345 1930 2690 3860 5380 32969 51917 65938 103834 131876 164845 207668 259585 329690 519170 659380 1038340 6363017 8868661 12726034 17737322 25452068 31815085 35474644 44343305 63630170 88686610 127260340 177373220 1711651573 3423303146 6846606292 8558257865 17116515730 34233031460