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3663468 = 22353769
BaseRepresentation
bin1101111110011001101100
320220010100000
431332121230
51414212333
6210304300
743065444
oct15763154
96803300
103663468
112082466
121288090
139b3643
146b5124
154c5713
hex37e66c

3663468 has 36 divisors (see below), whose sum is σ = 9605960. Its totient is φ = 1220832.

The previous prime is 3663461. The next prime is 3663469. The reversal of 3663468 is 8643663.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 32 + 67 + 68 + 39 + 46 + 68 + 83 .

It is not an unprimeable number, because it can be changed into a prime (3663461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913 + ... + 2856.

Almost surely, 23663468 is an apocalyptic number.

It is an amenable number.

3663468 is an abundant number, since it is smaller than the sum of its proper divisors (5942492).

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

3663468 is a wasteful number, since it uses less digits than its factorization.

3663468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3774 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3663468 is about 1914.0188086850. The cubic root of 3663468 is about 154.1573138064.

It can be divided in two parts, 36 and 63468, that added together give a square (63504 = 2522).

The spelling of 3663468 in words is "three million, six hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 3769 7538 11307 15076 22614 33921 45228 67842 101763 135684 203526 305289 407052 610578 915867 1221156 1831734 3663468