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73083374 = 27132172379
BaseRepresentation
bin1000101101100…
…10100111101110
312002112000112122
410112302213232
5122202131444
611130232542
71545125030
oct426624756
9162460478
1073083374
1138287691
1220585752
13121ab100
1499c5c50
1566394ee
hex45b29ee

73083374 has 96 divisors (see below), whose sum is σ = 151787520. Its totient is φ = 25698816.

The previous prime is 73083371. The next prime is 73083383. The reversal of 73083374 is 47338037.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73083371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925067 + ... + 925145.

It is an arithmetic number, because the mean of its divisors is an integer number (1581120).

Almost surely, 273083374 is an apocalyptic number.

73083374 is an abundant number, since it is smaller than the sum of its proper divisors (78704146).

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

73083374 is a wasteful number, since it uses less digits than its factorization.

73083374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 73083374 is about 8548.8814473006. The cubic root of 73083374 is about 418.0929678824.

The spelling of 73083374 in words is "seventy-three million, eighty-three thousand, three hundred seventy-four".

Divisors: 1 2 7 13 14 17 23 26 34 46 79 91 119 158 161 169 182 221 238 299 322 338 391 442 553 598 782 1027 1106 1183 1343 1547 1817 2054 2093 2366 2686 2737 2873 3094 3634 3887 4186 5083 5474 5746 7189 7774 9401 10166 12719 13351 14378 17459 18802 20111 23621 25438 26702 27209 30889 34918 35581 40222 47242 54418 61778 66079 71162 93457 122213 132158 165347 186914 216223 226967 244426 307073 330694 401557 432446 453934 462553 614146 803114 925106 1588769 2149511 2810899 3177538 4299022 5220241 5621798 10440482 36541687 73083374