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73673064 = 2334414759
BaseRepresentation
bin1000110010000…
…10100101101000
312010121222110000
410121002211220
5122330014224
611151023000
71553132163
oct431024550
9163558400
1073673064
113864a733
122080aa60
131235663a
149adaada
1567040c9
hex4642968

73673064 has 160 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 23051520.

The previous prime is 73673063. The next prime is 73673069. The reversal of 73673064 is 46037637.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73673063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1248667 + ... + 1248725.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 273673064 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 73673064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

73673064 is an abundant number, since it is smaller than the sum of its proper divisors (145869336).

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

73673064 is a wasteful number, since it uses less digits than its factorization.

73673064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 73673064 is about 8583.3014627240. The cubic root of 73673064 is about 419.2144500244.

The spelling of 73673064 in words is "seventy-three million, six hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 47 54 59 72 81 82 94 108 118 123 141 162 164 177 188 216 236 246 282 324 328 354 369 376 423 472 492 531 564 648 708 738 846 984 1062 1107 1128 1269 1416 1476 1593 1692 1927 2124 2214 2419 2538 2773 2952 3186 3321 3384 3807 3854 4248 4428 4779 4838 5076 5546 5781 6372 6642 7257 7614 7708 8319 8856 9558 9676 10152 11092 11562 12744 13284 14514 15228 15416 16638 17343 19116 19352 21771 22184 23124 24957 26568 29028 30456 33276 34686 38232 43542 46248 49914 52029 58056 65313 66552 69372 74871 87084 99828 104058 113693 130626 138744 149742 156087 174168 195939 199656 208116 224613 227386 261252 299484 312174 341079 391878 416232 449226 454772 522504 598968 624348 682158 783756 898452 909544 1023237 1248696 1364316 1567512 1796904 2046474 2728632 3069711 4092948 6139422 8185896 9209133 12278844 18418266 24557688 36836532 73673064