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83203340 = 225111312887
BaseRepresentation
bin1001111010110…
…01010100001100
312210120011112012
410331121110030
5132300001330
612131200352
72030134223
oct475312414
9183504465
1083203340
1142a699a0
1223a460b8
131431245c
14b09bcba
157487c95
hex4f5950c

83203340 has 48 divisors (see below), whose sum is σ = 192132864. Its totient is φ = 30014400.

The previous prime is 83203333. The next prime is 83203361. The reversal of 83203340 is 4330238.

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 15 ways as a sum of consecutive naturals, for example, 27377 + ... + 30263.

It is an arithmetic number, because the mean of its divisors is an integer number (4002768).

Almost surely, 283203340 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 83203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96066432).

83203340 is an abundant number, since it is smaller than the sum of its proper divisors (108929524).

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

83203340 is a wasteful number, since it uses less digits than its factorization.

83203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 83203340 is about 9121.5864848172. The cubic root of 83203340 is about 436.5629948966.

Adding to 83203340 its reverse (4330238), we get a palindrome (87533578).

The spelling of 83203340 in words is "eighty-three million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 2887 5764 5774 7205 11548 14410 14435 28820 28870 31757 57740 63514 127028 158785 317570 378197 635140 756394 1512788 1890985 3781970 4160167 7563940 8320334 16640668 20800835 41601670 83203340