Search a number
-
+
34322013303032 = 23713178859263591
BaseRepresentation
bin1111100110111001101110…
…11010010011000011111000
311111112011010010020010222002
413303130313122103003320
513444312440401144112
6200555152031520132
710141453325331020
oct763346732230370
9144464103203862
1034322013303032
11aa3297a811344
123a23a04989048
13161c723895680
148692a1272a80
153e7bdaced1c2
hex1f37376930f8

34322013303032 has 64 divisors (see below), whose sum is σ = 79205389401600. Its totient is φ = 13577811903360.

The previous prime is 34322013302923. The next prime is 34322013303073. The reversal of 34322013303032 is 23030331022343.

It is a junction number, because it is equal to n+sod(n) for n = 34322013302986 and 34322013303004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130077557 + ... + 130341147.

It is an arithmetic number, because the mean of its divisors is an integer number (1237584209400).

Almost surely, 234322013303032 is an apocalyptic number.

It is an amenable number.

34322013303032 is an abundant number, since it is smaller than the sum of its proper divisors (44883376098568).

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

34322013303032 is a wasteful number, since it uses less digits than its factorization.

34322013303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442476 (or 442472 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 34322013303032 its reverse (23030331022343), we get a palindrome (57352344325375).

The spelling of 34322013303032 in words is "thirty-four trillion, three hundred twenty-two billion, thirteen million, three hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 178859 263591 357718 527182 715436 1054364 1252013 1430872 1845137 2108728 2325167 2504026 3426683 3690274 4650334 5008052 6853366 7380548 9300668 10016104 13706732 14761096 16276169 18601336 23986781 27413464 32552338 47973562 65104676 95947124 130209352 191894248 47145622669 94291245338 188582490676 330019358683 377164981352 612893094697 660038717366 1225786189394 1320077434732 2451572378788 2640154869464 4290251662879 4903144757576 8580503325758 17161006651516 34322013303032