Search a number
-
+
34169409348 = 22341200334673
BaseRepresentation
bin11111110100101001…
…111100111101000100
310021012022202211202120
4133310221330331010
51024434332044343
623410333005540
72316515121144
oct376451747504
9107168684676
1034169409348
1113544816a88
1267573238b0
1332b7120019
14192209a924
15d4ebb4683
hex7f4a7cf44

34169409348 has 48 divisors (see below), whose sum is σ = 81716354496. Its totient is φ = 11106135040.

The previous prime is 34169409343. The next prime is 34169409349. The reversal of 34169409348 is 84390496143.

It is a happy number.

It is a super-3 number, since 3×341694093483 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34169409348.

It is not an unprimeable number, because it can be changed into a prime (34169409343) 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, 968140 + ... + 1002812.

It is an arithmetic number, because the mean of its divisors is an integer number (1702424052).

Almost surely, 234169409348 is an apocalyptic number.

It is an amenable number.

34169409348 is an abundant number, since it is smaller than the sum of its proper divisors (47546945148).

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

34169409348 is a wasteful number, since it uses less digits than its factorization.

34169409348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36724 (or 36722 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 34169409348 in words is "thirty-four billion, one hundred sixty-nine million, four hundred nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 2003 4006 6009 8012 12018 24036 34673 69346 82123 104019 138692 164246 208038 246369 328492 416076 492738 985476 1421593 2843186 4264779 5686372 8529558 17059116 69450019 138900038 208350057 277800076 416700114 833400228 2847450779 5694901558 8542352337 11389803116 17084704674 34169409348