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73343772 = 22331374957
BaseRepresentation
bin1000101111100…
…10001100011100
312010000020202000
410113302030130
5122234000042
611140002300
71550261145
oct427621434
9163006660
1073343772
1138445297
1220690390
131226c7a8
149a52acc
15668b74c
hex45f231c

73343772 has 48 divisors (see below), whose sum is σ = 191577120. Its totient is φ = 24264576.

The previous prime is 73343749. The next prime is 73343773. The reversal of 73343772 is 27734337.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73343773) 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 15 ways as a sum of consecutive naturals, for example, 12318 + ... + 17274.

It is an arithmetic number, because the mean of its divisors is an integer number (3991190).

Almost surely, 273343772 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 73343772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95788560).

73343772 is an abundant number, since it is smaller than the sum of its proper divisors (118233348).

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

73343772 is a wasteful number, since it uses less digits than its factorization.

73343772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5099 counting only the distinct ones).

The product of its digits is 74088, while the sum is 36.

The square root of 73343772 is about 8564.0978509123. The cubic root of 73343772 is about 418.5889380743.

The spelling of 73343772 in words is "seventy-three million, three hundred forty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 4957 7398 9914 14796 14871 19828 29742 44613 59484 89226 133839 178452 267678 535356 679109 1358218 2037327 2716436 4074654 6111981 8149308 12223962 18335943 24447924 36671886 73343772