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840048336 = 2432172911833
BaseRepresentation
bin110010000100100…
…001111011010000
32011112200212200100
4302010201323100
53210023021321
6215205052400
726550202341
oct6204417320
92145625610
10840048336
113a1204826
121b53b7100
1310506572a
147d7d20c8
154db38326
hex32121ed0

840048336 has 120 divisors (see below), whose sum is σ = 2575315080. Its totient is φ = 254435328.

The previous prime is 840048299. The next prime is 840048347. The reversal of 840048336 is 633840048.

It can be written as a sum of positive squares in 4 ways, for example, as 453690000 + 386358336 = 21300^2 + 19656^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 840048336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65076 + ... + 76908.

It is an arithmetic number, because the mean of its divisors is an integer number (21460959).

Almost surely, 2840048336 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 840048336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287657540).

840048336 is an abundant number, since it is smaller than the sum of its proper divisors (1735266744).

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

840048336 is a wasteful number, since it uses less digits than its factorization.

840048336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 840048336 is about 28983.5873556052. The cubic root of 840048336 is about 943.5568936889.

The spelling of 840048336 in words is "eight hundred forty million, forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 408 464 493 522 612 696 816 986 1044 1224 1392 1479 1972 2088 2448 2958 3944 4176 4437 5916 7888 8874 11832 11833 17748 23664 23666 35496 35499 47332 70992 70998 94664 106497 141996 189328 201161 212994 283992 343157 402322 425988 567984 603483 686314 804644 851976 1029471 1206966 1372628 1609288 1703952 1810449 2058942 2413932 2745256 3088413 3218576 3620898 4117884 4827864 5490512 5833669 6176826 7241796 8235768 9655728 11667338 12353652 14483592 16471536 17501007 23334676 24707304 28967184 35002014 46669352 49414608 52503021 70004028 93338704 105006042 140008056 210012084 280016112 420024168 840048336