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983343240 = 233551117541
BaseRepresentation
bin111010100111001…
…010000010001000
32112112100000100000
4322213022002020
54003213440430
6241324243000
733240164625
oct7247120210
92475300300
10983343240
11465087370
122353a0460
13128957709
149485334c
155b4e0e60
hex3a9ca088

983343240 has 384 divisors, whose sum is σ = 3835278720. Its totient is φ = 223948800.

The previous prime is 983343239. The next prime is 983343269. The reversal of 983343240 is 42343389.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 983343195 and 983343204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1817370 + ... + 1817910.

It is an arithmetic number, because the mean of its divisors is an integer number (9987705).

Almost surely, 2983343240 is an apocalyptic number.

983343240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917639360).

983343240 is an abundant number, since it is smaller than the sum of its proper divisors (2851935480).

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

983343240 is a wasteful number, since it uses less digits than its factorization.

983343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 983343240 is about 31358.3041633313. The cubic root of 983343240 is about 994.4166306723.

The spelling of 983343240 in words is "nine hundred eighty-three million, three hundred forty-three thousand, two hundred forty".