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73076934 = 237223101107
BaseRepresentation
bin1000101101100…
…01000011000110
312002111200201010
410112301003012
5122201430214
611130143050
71545100200
oct426610306
9162450633
1073076934
1138282867
1220581a86
13121a81b8
1499c3770
156637659
hex45b10c6

73076934 has 96 divisors (see below), whose sum is σ = 180838656. Its totient is φ = 19588800.

The previous prime is 73076891. The next prime is 73076959. The reversal of 73076934 is 43967037.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73076892 and 73076901.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 682909 + ... + 683015.

It is an arithmetic number, because the mean of its divisors is an integer number (1883736).

Almost surely, 273076934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73076934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90419328).

73076934 is an abundant number, since it is smaller than the sum of its proper divisors (107761722).

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

73076934 is a wasteful number, since it uses less digits than its factorization.

73076934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 73076934 is about 8548.5047815393. The cubic root of 73076934 is about 418.0806869414.

It can be divided in two parts, 7307 and 6934, that added together give a palindrome (14241).

The spelling of 73076934 in words is "seventy-three million, seventy-six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 101 107 138 147 161 202 214 294 303 321 322 483 606 642 707 749 966 1127 1414 1498 2121 2247 2254 2323 2461 3381 4242 4494 4646 4922 4949 5243 6762 6969 7383 9898 10486 10807 13938 14766 14847 15729 16261 17227 21614 29694 31458 32421 32522 34454 48783 51681 64842 75649 97566 103362 113827 120589 151298 226947 227654 241178 248561 341481 361767 453894 497122 529543 682962 723534 745683 1059086 1491366 1588629 1739927 3177258 3479854 5219781 10439562 12179489 24358978 36538467 73076934