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3942432 = 2536132
BaseRepresentation
bin1111000010100000100000
321102022000000
433002200200
52002124212
6220300000
745336654
oct17024040
97368000
103942432
11225300a
1213a1600
13a80600
14748a64
1552d1dc
hex3c2820

3942432 has 126 divisors (see below), whose sum is σ = 12601197. Its totient is φ = 1213056.

The previous prime is 3942413. The next prime is 3942467. The reversal of 3942432 is 2342493.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 571536 = 1836^2 + 756^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5184) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 3942396 and 3942405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 303258 + ... + 303270.

Almost surely, 23942432 is an apocalyptic number.

3942432 is a gapful number since it is divisible by the number (32) 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 3942432

3942432 is an abundant number, since it is smaller than the sum of its proper divisors (8658765).

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

3942432 is an equidigital number, since it uses as much as digits as its factorization.

3942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3942432 is about 1985.5558415718. Note that the first 3 decimals coincide. The cubic root of 3942432 is about 157.9748931959.

The spelling of 3942432 in words is "three million, nine hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 169 208 216 234 243 288 312 324 338 351 416 432 468 486 507 624 648 676 702 729 864 936 972 1014 1053 1248 1296 1352 1404 1458 1521 1872 1944 2028 2106 2592 2704 2808 2916 3042 3159 3744 3888 4056 4212 4563 5408 5616 5832 6084 6318 7776 8112 8424 9126 9477 11232 11664 12168 12636 13689 16224 16848 18252 18954 23328 24336 25272 27378 33696 36504 37908 41067 48672 50544 54756 73008 75816 82134 101088 109512 123201 146016 151632 164268 219024 246402 303264 328536 438048 492804 657072 985608 1314144 1971216 3942432