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67314324 = 223711263277
BaseRepresentation
bin1000000001100…
…10001010010100
311200122220220010
410000302022110
5114213024244
610402440220
71445106450
oct400621224
9150586803
1067314324
1134aa7280
121a663070
1310c3b27c
148d23660
155d99eb9
hex4032294

67314324 has 96 divisors (see below), whose sum is σ = 197277696. Its totient is φ = 17354880.

The previous prime is 67314287. The next prime is 67314341. The reversal of 67314324 is 42341376.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67314291 and 67314300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242874 + ... + 243150.

It is an arithmetic number, because the mean of its divisors is an integer number (2054976).

Almost surely, 267314324 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 67314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98638848).

67314324 is an abundant number, since it is smaller than the sum of its proper divisors (129963372).

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

67314324 is a wasteful number, since it uses less digits than its factorization.

67314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 67314324 is about 8204.5306995586. The cubic root of 67314324 is about 406.7889646805.

The spelling of 67314324 in words is "sixty-seven million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 263 277 308 462 526 554 789 831 924 1052 1108 1578 1662 1841 1939 2893 3047 3156 3324 3682 3878 5523 5786 5817 6094 7364 7756 8679 9141 11046 11572 11634 12188 17358 18282 20251 21329 22092 23268 34716 36564 40502 42658 60753 63987 72851 81004 85316 121506 127974 145702 218553 243012 255948 291404 437106 509957 801361 874212 1019914 1529871 1602722 2039828 2404083 3059742 3205444 4808166 5609527 6119484 9616332 11219054 16828581 22438108 33657162 67314324