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67340 = 22571337
BaseRepresentation
bin10000011100001100
310102101002
4100130030
54123330
61235432
7400220
oct203414
9112332
1067340
1146659
1232b78
1324860
141a780
1514e45
hex1070c

67340 has 48 divisors (see below), whose sum is σ = 178752. Its totient is φ = 20736.

The previous prime is 67339. The next prime is 67343. The reversal of 67340 is 4376.

67340 = T91 + T92 + ... + T104.

67340 = 212 + 222 + ... + 592.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

267340 is an apocalyptic number.

It is a pronic number, being equal to 259×260.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

67340 is an abundant number, since it is smaller than the sum of its proper divisors (111412).

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

67340 is a wasteful number, since it uses less digits than its factorization.

67340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 67340 is about 259.4995183040. The cubic root of 67340 is about 40.6840679210.

The spelling of 67340 in words is "sixty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 182 185 259 260 364 370 455 481 518 740 910 962 1036 1295 1820 1924 2405 2590 3367 4810 5180 6734 9620 13468 16835 33670 67340