Search a number
-
+
2734944966 = 233135716823
BaseRepresentation
bin1010001100000011…
…1111001011000110
321001121021121012000
42203000333023012
521100121214331
61131215210130
7124526435325
oct24300771306
97047247160
102734944966
1111838946a6
12643b16946
13347800440
141bd32c0bc
151101890e6
hexa303f2c6

2734944966 has 64 divisors (see below), whose sum is σ = 6557591040. Its totient is φ = 839924640.

The previous prime is 2734944959. The next prime is 2734944997. The reversal of 2734944966 is 6694494372.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397431 + ... + 404253.

It is an arithmetic number, because the mean of its divisors is an integer number (102462360).

Almost surely, 22734944966 is an apocalyptic number.

2734944966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734944966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278795520).

2734944966 is an abundant number, since it is smaller than the sum of its proper divisors (3822646074).

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

2734944966 is a wasteful number, since it uses less digits than its factorization.

2734944966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7412 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2734944966 is about 52296.7012917641. The cubic root of 2734944966 is about 1398.4583311811.

The spelling of 2734944966 in words is "two billion, seven hundred thirty-four million, nine hundred forty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 571 702 1142 1713 3426 5139 6823 7423 10278 13646 14846 15417 20469 22269 30834 40938 44538 61407 66807 88699 122814 133614 177398 184221 200421 266097 368442 400842 532194 798291 1596582 2394873 3895933 4789746 7791866 11687799 23375598 35063397 50647129 70126794 101294258 105190191 151941387 210380382 303882774 455824161 911648322 1367472483 2734944966