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73370264 = 23117111743
BaseRepresentation
bin1000101111110…
…00101010011000
312010001121002012
410113320222120
5122240322024
611140325052
71550431322
oct427705230
9163047065
1073370264
1138463190
12206a3788
131227b876
149a5c612
15669450e
hex45f8a98

73370264 has 32 divisors (see below), whose sum is σ = 152202240. Its totient is φ = 32877600.

The previous prime is 73370263. The next prime is 73370309. The reversal of 73370264 is 46207337.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73370264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73370263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 377 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (4756320).

Almost surely, 273370264 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 73370264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76101120).

73370264 is an abundant number, since it is smaller than the sum of its proper divisors (78831976).

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

73370264 is a wasteful number, since it uses less digits than its factorization.

73370264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11831 (or 11827 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 73370264 is about 8565.6444007442. The cubic root of 73370264 is about 418.6393305523.

The spelling of 73370264 in words is "seventy-three million, three hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 11743 23486 46972 93944 129173 258346 516692 833753 1033384 1667506 3335012 6670024 9171283 18342566 36685132 73370264