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84373380 = 2233571317101
BaseRepresentation
bin1010000011101…
…10111110000100
312212202121112000
411001312332010
5133044422010
612212225300
72043106350
oct501667604
9185677460
1084373380
1143698a73
122430b230
1314631ba0
14b2c4460
1576197c0
hex5076f84

84373380 has 384 divisors, whose sum is σ = 345461760. Its totient is φ = 16588800.

The previous prime is 84373379. The next prime is 84373381. The reversal of 84373380 is 8337348.

It is an interprime number because it is at equal distance from previous prime (84373379) and next prime (84373381).

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

It is not an unprimeable number, because it can be changed into a prime (84373381) 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 127 ways as a sum of consecutive naturals, for example, 835330 + ... + 835430.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 284373380 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 84373380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

84373380 is an abundant number, since it is smaller than the sum of its proper divisors (261088380).

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

84373380 is a wasteful number, since it uses less digits than its factorization.

84373380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 84373380 is about 9185.4983533829. The cubic root of 84373380 is about 438.5998536569.

The spelling of 84373380 in words is "eighty-four million, three hundred seventy-three thousand, three hundred eighty".