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3663432 = 2332174173
BaseRepresentation
bin1101111110011001001000
320220010021200
431332121020
51414212212
6210304200
743065363
oct15763110
96803250
103663432
112082433
121288060
139b3616
146b50da
154c56dc
hex37e648

3663432 has 96 divisors (see below), whose sum is σ = 10909080. Its totient is φ = 1105920.

The previous prime is 3663427. The next prime is 3663433. The reversal of 3663432 is 2343663.

It can be written as a sum of positive squares in 4 ways, for example, as 2842596 + 820836 = 1686^2 + 906^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3663396 and 3663405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50148 + ... + 50220.

Almost surely, 23663432 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 3663432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454540).

3663432 is an abundant number, since it is smaller than the sum of its proper divisors (7245648).

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

3663432 is a wasteful number, since it uses less digits than its factorization.

3663432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3663432 is about 1914.0094043656. The cubic root of 3663432 is about 154.1568088494.

It can be divided in two parts, 3663 and 432, that added together give a triangular number (4095 = T90).

The spelling of 3663432 in words is "three million, six hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 73 82 102 123 136 146 153 164 204 219 246 292 306 328 369 408 438 492 584 612 657 697 738 876 984 1224 1241 1314 1394 1476 1752 2091 2482 2628 2788 2952 2993 3723 4182 4964 5256 5576 5986 6273 7446 8364 8979 9928 11169 11972 12546 14892 16728 17958 22338 23944 25092 26937 29784 35916 44676 50184 50881 53874 71832 89352 101762 107748 152643 203524 215496 305286 407048 457929 610572 915858 1221144 1831716 3663432