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67234864 = 24171511637
BaseRepresentation
bin1000000000111…
…10110000110000
311200111212220011
410000132300300
5114203003424
610401024304
71444326004
oct400366060
9150455804
1067234864
1134a52604
121a625094
1310c11058
148d02704
155d81694
hex401ec30

67234864 has 40 divisors (see below), whose sum is σ = 138928608. Its totient is φ = 31411200.

The previous prime is 67234861. The next prime is 67234891. The reversal of 67234864 is 46843276.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67234861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40254 + ... + 41890.

Almost surely, 267234864 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 67234864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

67234864 is an abundant number, since it is smaller than the sum of its proper divisors (71693744).

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

67234864 is a wasteful number, since it uses less digits than its factorization.

67234864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 67234864 is about 8199.6868232878. The cubic root of 67234864 is about 406.6288393851.

The spelling of 67234864 in words is "sixty-seven million, two hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 151 272 302 604 1208 1637 2416 2567 3274 5134 6548 10268 13096 20536 26192 27829 41072 55658 111316 222632 247187 445264 494374 988748 1977496 3954992 4202179 8404358 16808716 33617432 67234864