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34349073164 = 22719373173099
BaseRepresentation
bin11111111111010111…
…010100001100001100
310021122211211201011222
4133333113110030030
51030321330320124
623440231502512
72324126206310
oct377727241414
9107584751158
1034349073164
111362717a07a
1267a7527a38
133315406b83
14193bca7b40
15d6085325e
hex7ff5d430c

34349073164 has 48 divisors (see below), whose sum is σ = 72508128000. Its totient is φ = 13908770496.

The previous prime is 34349073163. The next prime is 34349073203. The reversal of 34349073164 is 46137094343.

It is not an unprimeable number, because it can be changed into a prime (34349073163) 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, 111887 + ... + 284985.

It is an arithmetic number, because the mean of its divisors is an integer number (1510586000).

Almost surely, 234349073164 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 34349073164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36254064000).

34349073164 is an abundant number, since it is smaller than the sum of its proper divisors (38159054836).

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

34349073164 is a wasteful number, since it uses less digits than its factorization.

34349073164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173502 (or 173500 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 34349073164 in words is "thirty-four billion, three hundred forty-nine million, seventy-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 373 532 746 1492 2611 5222 7087 10444 14174 28348 49609 99218 173099 198436 346198 692396 1211693 2423386 3288881 4846772 6577762 13155524 23022167 46044334 64565927 92088668 129131854 258263708 451961489 903922978 1226752613 1807845956 2453505226 4907010452 8587268291 17174536582 34349073164