Search a number
-
+
34322014240 = 255564737987
BaseRepresentation
bin11111111101110000…
…000110000000100000
310021120221220222022121
4133331300012000200
51030242413423430
623433423514024
72323350210313
oct377560060040
9107527828277
1034322014240
1113612978328
12679a458914
13330c921787
14193846297a
15d5d2aaa7a
hex7fdc06020

34322014240 has 48 divisors (see below), whose sum is σ = 81102252672. Its totient is φ = 13726013184.

The previous prime is 34322014213. The next prime is 34322014291. The reversal of 34322014240 is 4241022343.

It is a happy number.

It is a super-2 number, since 2×343220142402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884527 + ... + 922513.

It is an arithmetic number, because the mean of its divisors is an integer number (1689630264).

Almost surely, 234322014240 is an apocalyptic number.

It is an amenable number.

34322014240 is an abundant number, since it is smaller than the sum of its proper divisors (46780238432).

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

34322014240 is a wasteful number, since it uses less digits than its factorization.

34322014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43649 (or 43641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34322014240 its reverse (4241022343), we get a palindrome (38563036583).

The spelling of 34322014240 in words is "thirty-four billion, three hundred twenty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5647 11294 22588 28235 37987 45176 56470 75974 90352 112940 151948 180704 189935 225880 303896 379870 451760 607792 759740 903520 1215584 1519480 3038960 6077920 214512589 429025178 858050356 1072562945 1716100712 2145125890 3432201424 4290251780 6864402848 8580503560 17161007120 34322014240