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72344340 = 2234544657
BaseRepresentation
bin1000100111111…
…10001100010100
312001010110210000
410103332030110
5122010004330
611102331300
71535626305
oct423761424
9161113700
1072344340
1137922412
1220289b30
1311cac903
1498727ac
156540560
hex44fe314

72344340 has 60 divisors (see below), whose sum is σ = 226951956. Its totient is φ = 19291392.

The previous prime is 72344339. The next prime is 72344347. The reversal of 72344340 is 4344327.

It can be written as a sum of positive squares in 2 ways, for example, as 31741956 + 40602384 = 5634^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72344347) 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 19 ways as a sum of consecutive naturals, for example, 20709 + ... + 23948.

Almost surely, 272344340 is an apocalyptic number.

It is an amenable number.

72344340 is an abundant number, since it is smaller than the sum of its proper divisors (154607616).

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

72344340 is a wasteful number, since it uses less digits than its factorization.

72344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44678 (or 44667 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 72344340 is about 8505.5476014187. The cubic root of 72344340 is about 416.6789102180.

Adding to 72344340 its reverse (4344327), we get a palindrome (76688667).

The spelling of 72344340 in words is "seventy-two million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 44657 89314 133971 178628 223285 267942 401913 446570 535884 669855 803826 893140 1205739 1339710 1607652 2009565 2411478 2679420 3617217 4019130 4822956 6028695 7234434 8038260 12057390 14468868 18086085 24114780 36172170 72344340