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73334016 = 283274547
BaseRepresentation
bin1000101111011…
…11110100000000
312002222202100200
410113233310000
5122233142031
611135445200
71550220540
oct427576400
9162882320
1073334016
1138438a28
1220686800
1312268212
149a4d320
1566888e6
hex45efd00

73334016 has 108 divisors (see below), whose sum is σ = 241698912. Its totient is φ = 20947968.

The previous prime is 73333993. The next prime is 73334057. The reversal of 73334016 is 61043337.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13855 + ... + 18401.

Almost surely, 273334016 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 73334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120849456).

73334016 is an abundant number, since it is smaller than the sum of its proper divisors (168364896).

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

73334016 is a wasteful number, since it uses less digits than its factorization.

73334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 73334016 is about 8563.5282448299. The cubic root of 73334016 is about 418.5703773765.

The spelling of 73334016 in words is "seventy-three million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 4547 5376 8064 9094 13641 16128 18188 27282 31829 36376 40923 54564 63658 72752 81846 95487 109128 127316 145504 163692 190974 218256 254632 286461 291008 327384 381948 436512 509264 572922 582016 654768 763896 873024 1018528 1145844 1164032 1309536 1527792 1746048 2037056 2291688 2619072 3055584 3492096 4074112 4583376 5238144 6111168 8148224 9166752 10476288 12222336 18333504 24444672 36667008 73334016