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67920345 = 32519237113
BaseRepresentation
bin1000000110001…
…10000111011001
311201210201012100
410003012013121
5114341422340
610423434013
71453212333
oct403060731
9151721170
1067920345
1135380619
121a8b5909
13110c106c
149040453
155e69830
hex40c61d9

67920345 has 72 divisors (see below), whose sum is σ = 128738376. Its totient is φ = 33094656.

The previous prime is 67920337. The next prime is 67920361. The reversal of 67920345 is 54302976.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 64593369 = 1824^2 + 8037^2 .

It is not a de Polignac number, because 67920345 - 23 = 67920337 is a prime.

It is a super-2 number, since 2×679203452 = 9226346529838050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601009 + ... + 601121.

It is an arithmetic number, because the mean of its divisors is an integer number (1788033).

Almost surely, 267920345 is an apocalyptic number.

It is an amenable number.

67920345 is a deficient number, since it is larger than the sum of its proper divisors (60818031).

67920345 is a wasteful number, since it uses less digits than its factorization.

67920345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 67920345 is about 8241.3800422017. The cubic root of 67920345 is about 408.0060732948.

It can be divided in two parts, 67920 and 345, that added together give a triangular number (68265 = T369).

The spelling of 67920345 in words is "sixty-seven million, nine hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 37 45 57 95 111 113 171 185 285 333 339 361 555 565 703 855 1017 1083 1665 1695 1805 2109 2147 3249 3515 4181 5085 5415 6327 6441 10545 10735 12543 13357 16245 19323 20905 31635 32205 37629 40071 40793 62715 66785 79439 96615 120213 122379 188145 200355 203965 238317 367137 397195 601065 611895 714951 1191585 1509341 1835685 3574755 4528023 7546705 13584069 22640115 67920345