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840745296 = 243231331569
BaseRepresentation
bin110010000111001…
…100000101010000
32011121000021201200
4302013030011100
53210212322141
6215232031200
726556134316
oct6207140520
92147007650
10840745296
113a1640426
121b5692500
1310524aa31
147d9340b6
154dc24ab6
hex321cc150

840745296 has 120 divisors (see below), whose sum is σ = 2440439040. Its totient is φ = 269913600.

The previous prime is 840745291. The next prime is 840745309. The reversal of 840745296 is 692547048.

It is a happy number.

It is a super-2 number, since 2×8407452962 = 1413705305492255232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840745291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477300 + ... + 1477868.

It is an arithmetic number, because the mean of its divisors is an integer number (20336992).

Almost surely, 2840745296 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 840745296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220219520).

840745296 is an abundant number, since it is smaller than the sum of its proper divisors (1599693744).

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

840745296 is a wasteful number, since it uses less digits than its factorization.

840745296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 840745296 is about 28995.6082191769. The cubic root of 840745296 is about 943.8177674186.

The spelling of 840745296 in words is "eight hundred forty million, seven hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 331 372 496 558 569 662 744 993 1116 1138 1324 1488 1707 1986 2232 2276 2648 2979 3414 3972 4464 4552 5121 5296 5958 6828 7944 9104 10242 10261 11916 13656 15888 17639 20484 20522 23832 27312 30783 35278 40968 41044 47664 52917 61566 70556 81936 82088 92349 105834 123132 141112 158751 164176 184698 188339 211668 246264 282224 317502 369396 376678 423336 492528 565017 635004 738792 753356 846672 1130034 1270008 1477584 1506712 1695051 2260068 2540016 3013424 3390102 4520136 5838509 6780204 9040272 11677018 13560408 17515527 23354036 27120816 35031054 46708072 52546581 70062108 93416144 105093162 140124216 210186324 280248432 420372648 840745296