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840199416 = 233713138177
BaseRepresentation
bin110010000101000…
…110110011111000
32011112222112220220
4302011012303320
53210042340131
6215212220040
726551401660
oct6205066370
92145875826
10840199416
113a12a8291
121b546a620
131050b9424
147d8311a0
154db67e96
hex32146cf8

840199416 has 64 divisors (see below), whose sum is σ = 2418958080. Its totient is φ = 238218240.

The previous prime is 840199391. The next prime is 840199463. The reversal of 840199416 is 614991048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2920 + ... + 41096.

It is an arithmetic number, because the mean of its divisors is an integer number (37796220).

Almost surely, 2840199416 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 840199416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209479040).

840199416 is an abundant number, since it is smaller than the sum of its proper divisors (1578758664).

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

840199416 is a wasteful number, since it uses less digits than its factorization.

840199416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38324 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 840199416 is about 28986.1935410636. The cubic root of 840199416 is about 943.6134555256.

The spelling of 840199416 in words is "eight hundred forty million, one hundred ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 7336 11004 22008 38177 76354 114531 152708 229062 267239 305416 458124 534478 801717 916248 1068956 1603434 2137912 3206868 5001187 6413736 10002374 15003561 20004748 30007122 35008309 40009496 60014244 70016618 105024927 120028488 140033236 210049854 280066472 420099708 840199416