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3672468 = 2232102013
BaseRepresentation
bin1110000000100110010100
320220120200100
432000212110
51420004333
6210414100
743133622
oct16004624
96816610
103672468
1120891a8
121291330
139b7777
146b8512
154c8213
hex380994

3672468 has 18 divisors (see below), whose sum is σ = 9283274. Its totient is φ = 1224144.

The previous prime is 3672463. The next prime is 3672499. The reversal of 3672468 is 8642763.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 1633284 = 1428^2 + 1278^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×36724682 = 26974042422048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 102013 = 3672468 / (3 + 6 + 7 + 2 + 4 + 6 + 8).

It is a d-powerful number, because it can be written as 311 + 68 + 76 + 211 + 47 + 68 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50971 + ... + 51042.

Almost surely, 23672468 is an apocalyptic number.

It is an amenable number.

3672468 is an abundant number, since it is smaller than the sum of its proper divisors (5610806).

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

3672468 is a wasteful number, since it uses less digits than its factorization.

3672468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102023 (or 102018 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3672468 is about 1916.3684405667. The cubic root of 3672468 is about 154.2834494083.

The spelling of 3672468 in words is "three million, six hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 102013 204026 306039 408052 612078 918117 1224156 1836234 3672468