Search a number
-
+
67373244 = 223217283389
BaseRepresentation
bin1000000010000…
…00100010111100
311200202220201100
410001000202330
5114221420434
610404013100
71445443311
oct401004274
9150686640
1067373244
1135037574
121a691190
1310c5c033
148d3ad08
155dac699
hex40408bc

67373244 has 72 divisors (see below), whose sum is σ = 181424880. Its totient is φ = 21007872.

The previous prime is 67373239. The next prime is 67373269. The reversal of 67373244 is 44237376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67373199 and 67373208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173002 + ... + 173390.

It is an arithmetic number, because the mean of its divisors is an integer number (2519790).

Almost surely, 267373244 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 67373244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90712440).

67373244 is an abundant number, since it is smaller than the sum of its proper divisors (114051636).

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

67373244 is a wasteful number, since it uses less digits than its factorization.

67373244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 67373244 is about 8208.1206131489. The cubic root of 67373244 is about 406.9076170699.

The spelling of 67373244 in words is "sixty-seven million, three hundred seventy-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 283 306 389 566 612 778 849 1132 1167 1556 1698 2334 2547 3396 3501 4668 4811 5094 6613 7002 9622 10188 13226 14004 14433 19244 19839 26452 28866 39678 43299 57732 59517 79356 86598 110087 119034 173196 220174 238068 330261 440348 660522 990783 1321044 1871479 1981566 3742958 3963132 5614437 7485916 11228874 16843311 22457748 33686622 67373244