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840296268 = 22347477883
BaseRepresentation
bin110010000101011…
…110011101001100
32011120011110210000
4302011132131030
53210103440033
6215214244300
726552254230
oct6205363514
92146143700
10840296268
113a1364029
121b54b6690
13105121536
147d8585c0
154db86a13
hex3215e74c

840296268 has 120 divisors (see below), whose sum is σ = 2564255232. Its totient is φ = 234946656.

The previous prime is 840296263. The next prime is 840296269. The reversal of 840296268 is 862692048.

840296268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (840296263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102655 + ... + 110537.

Almost surely, 2840296268 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 840296268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282127616).

840296268 is an abundant number, since it is smaller than the sum of its proper divisors (1723958964).

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

840296268 is a wasteful number, since it uses less digits than its factorization.

840296268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 840296268 is about 28987.8641503647. The cubic root of 840296268 is about 943.6497117355.

The spelling of 840296268 in words is "eight hundred forty million, two hundred ninety-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 81 84 94 108 126 141 162 188 189 252 282 324 329 378 423 564 567 658 756 846 987 1134 1269 1316 1692 1974 2268 2538 2961 3807 3948 5076 5922 7614 7883 8883 11844 15228 15766 17766 23649 26649 31532 35532 47298 53298 55181 70947 94596 106596 110362 141894 165543 212841 220724 283788 331086 370501 425682 496629 638523 662172 741002 851364 993258 1111503 1277046 1482004 1489887 1986516 2223006 2554092 2593507 2979774 3334509 4446012 4469661 5187014 5959548 6669018 7780521 8939322 10003527 10374028 13338036 15561042 17878644 20007054 23341563 30010581 31122084 40014108 46683126 60021162 70024689 93366252 120042324 140049378 210074067 280098756 420148134 840296268