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834492312 = 2332193071987
BaseRepresentation
bin110001101111010…
…101011110011000
32011011020121020200
4301233111132120
53202112223222
6214450022200
726452032123
oct6157253630
92134217220
10834492312
1139905a475
121b3577960
13103b6b844
147cb873ba
154d3dbeac
hex31bd5798

834492312 has 96 divisors (see below), whose sum is σ = 2387985600. Its totient is φ = 262533312.

The previous prime is 834492299. The next prime is 834492341. The reversal of 834492312 is 213294438.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418983 + ... + 420969.

It is an arithmetic number, because the mean of its divisors is an integer number (24874850).

Almost surely, 2834492312 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 834492312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193992800).

834492312 is an abundant number, since it is smaller than the sum of its proper divisors (1553493288).

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

834492312 is a wasteful number, since it uses less digits than its factorization.

834492312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2318 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 834492312 is about 28887.5805840503. The cubic root of 834492312 is about 941.4720830653.

The spelling of 834492312 in words is "eight hundred thirty-four million, four hundred ninety-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 307 342 456 614 684 921 1228 1368 1842 1987 2456 2763 3684 3974 5526 5833 5961 7368 7948 11052 11666 11922 15896 17499 17883 22104 23332 23844 34998 35766 37753 46664 47688 52497 69996 71532 75506 104994 113259 139992 143064 151012 209988 226518 302024 339777 419976 453036 610009 679554 906072 1220018 1359108 1830027 2440036 2718216 3660054 4880072 5490081 7320108 10980162 11590171 14640216 21960324 23180342 34770513 43920648 46360684 69541026 92721368 104311539 139082052 208623078 278164104 417246156 834492312