Search a number
-
+
934516880 = 245112293329
BaseRepresentation
bin110111101100111…
…001100010010000
32102010110101011022
4313230321202100
53403214020010
6232421535012
732105156003
oct6754714220
92363411138
10934516880
1143a568400
12220b74468
1311b7c058b
148c18353a
1557098d55
hex37b39890

934516880 has 120 divisors (see below), whose sum is σ = 2471326200. Its totient is φ = 328007680.

The previous prime is 934516861. The next prime is 934516883. The reversal of 934516880 is 88615439.

934516880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70627216 + 863889664 = 8404^2 + 29392^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934516883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279056 + ... + 282384.

It is an arithmetic number, because the mean of its divisors is an integer number (20594385).

Almost surely, 2934516880 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 934516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235663100).

934516880 is an abundant number, since it is smaller than the sum of its proper divisors (1536809320).

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

934516880 is a wasteful number, since it uses less digits than its factorization.

934516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 934516880 is about 30569.8688253646. The cubic root of 934516880 is about 977.6777166124.

The spelling of 934516880 in words is "nine hundred thirty-four million, five hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 121 145 176 220 232 242 290 319 440 464 484 580 605 638 880 968 1160 1210 1276 1595 1936 2320 2420 2552 3190 3329 3509 4840 5104 6380 6658 7018 9680 12760 13316 14036 16645 17545 25520 26632 28072 33290 35090 36619 53264 56144 66580 70180 73238 96541 133160 140360 146476 183095 193082 266320 280720 292952 366190 386164 402809 482705 585904 732380 772328 805618 965410 1061951 1464760 1544656 1611236 1930820 2014045 2123902 2929520 3222472 3861640 4028090 4247804 5309755 6444944 7723280 8056180 8495608 10619510 11681461 16112360 16991216 21239020 23362922 32224720 42478040 46725844 58407305 84956080 93451688 116814610 186903376 233629220 467258440 934516880