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73342052 = 22719891549
BaseRepresentation
bin1000101111100…
…01110001100100
312010000011101022
410113301301210
5122233421202
611135550312
71550253140
oct427616144
9163004338
1073342052
1138443a73
122068b398
131226ba84
149a52220
15668aea2
hex45f1c64

73342052 has 48 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 29424384.

The previous prime is 73341959. The next prime is 73342057. The reversal of 73342052 is 25024337.

It is a super-3 number, since 3×733420523 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73342057) 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, 46574 + ... + 48122.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 273342052 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 73342052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

73342052 is an abundant number, since it is smaller than the sum of its proper divisors (82897948).

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

73342052 is a wasteful number, since it uses less digits than its factorization.

73342052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 73342052 is about 8563.9974311066. The cubic root of 73342052 is about 418.5856659100.

Adding to 73342052 its reverse (25024337), we get a palindrome (98366389).

The spelling of 73342052 in words is "seventy-three million, three hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 89 133 178 266 356 532 623 1246 1549 1691 2492 3098 3382 6196 6764 10843 11837 21686 23674 29431 43372 47348 58862 117724 137861 206017 275722 412034 551444 824068 965027 1930054 2619359 3860108 5238718 10477436 18335513 36671026 73342052