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67844144 = 2417249427
BaseRepresentation
bin1000000101100…
…11100000110000
311201122211200002
410002303200300
5114332003034
610422045132
71452444224
oct402634060
9151584602
1067844144
1135329345
121a8797a8
1311095484
149020784
155e51e7e
hex40b3830

67844144 has 20 divisors (see below), whose sum is σ = 139180824. Its totient is φ = 31926528.

The previous prime is 67844131. The next prime is 67844177. The reversal of 67844144 is 44144876.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67844098 and 67844107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124442 + ... + 124985.

Almost surely, 267844144 is an apocalyptic number.

It is an amenable number.

67844144 is an abundant number, since it is smaller than the sum of its proper divisors (71336680).

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

67844144 is a wasteful number, since it uses less digits than its factorization.

67844144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249452 (or 249446 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The square root of 67844144 is about 8236.7556719864. The cubic root of 67844144 is about 407.8534331935.

The spelling of 67844144 in words is "sixty-seven million, eight hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 249427 498854 997708 1995416 3990832 4240259 8480518 16961036 33922072 67844144