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3942840 = 23351129103
BaseRepresentation
bin1111000010100110111000
321102022120010
433002212320
52002132330
6220301520
745341106
oct17024670
97368503
103942840
112253350
1213a18a0
13a80855
14748c76
1552d3b0
hex3c29b8

3942840 has 128 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 913920.

The previous prime is 3942839. The next prime is 3942871. The reversal of 3942840 is 482493.

It is a happy number.

3942840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3942798 and 3942807.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38229 + ... + 38331.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23942840 is an apocalyptic number.

3942840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3942840 is an abundant number, since it is smaller than the sum of its proper divisors (9535560).

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

3942840 is a wasteful number, since it uses less digits than its factorization.

3942840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3942840 is about 1985.6585809247. The cubic root of 3942840 is about 157.9803425846.

The spelling of 3942840 in words is "three million, nine hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 103 110 116 120 132 145 165 174 206 220 232 264 290 309 319 330 348 412 435 440 515 580 618 638 660 696 824 870 957 1030 1133 1160 1236 1276 1320 1545 1595 1740 1914 2060 2266 2472 2552 2987 3090 3190 3399 3480 3828 4120 4532 4785 5665 5974 6180 6380 6798 7656 8961 9064 9570 11330 11948 12360 12760 13596 14935 16995 17922 19140 22660 23896 27192 29870 32857 33990 35844 38280 44805 45320 59740 65714 67980 71688 89610 98571 119480 131428 135960 164285 179220 197142 262856 328570 358440 394284 492855 657140 788568 985710 1314280 1971420 3942840