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73097316 = 2235157479
BaseRepresentation
bin1000101101101…
…10000001100100
312002112201200000
410112312001210
5122203103231
611130421300
71545213465
oct426660144
9162481600
1073097316
1138297106
1220591830
13121b4566
1499cad6c
15663d6e6
hex45b6064

73097316 has 72 divisors (see below), whose sum is σ = 193240320. Its totient is φ = 24160032.

The previous prime is 73097293. The next prime is 73097317. The reversal of 73097316 is 61379037.

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

It is not an unprimeable number, because it can be changed into a prime (73097317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 152365 + ... + 152843.

Almost surely, 273097316 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 73097316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96620160).

73097316 is an abundant number, since it is smaller than the sum of its proper divisors (120143004).

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

73097316 is a wasteful number, since it uses less digits than its factorization.

73097316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 73097316 is about 8549.6968367305. The cubic root of 73097316 is about 418.1195525040.

The spelling of 73097316 in words is "seventy-three million, ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 243 314 324 471 479 486 628 942 958 972 1413 1437 1884 1916 2826 2874 4239 4311 5652 5748 8478 8622 12717 12933 16956 17244 25434 25866 38151 38799 50868 51732 75203 76302 77598 116397 150406 152604 155196 225609 232794 300812 451218 465588 676827 902436 1353654 2030481 2707308 4060962 6091443 8121924 12182886 18274329 24365772 36548658 73097316