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1031998968 = 2334711133743
BaseRepresentation
bin111101100000110…
…000110111111000
32122220212222110000
4331200300313320
54103142431333
6250223153000
734400563230
oct7540606770
92586788400
101031998968
1148a59a110
12249745760
13135a61ca0
149b0bacc0
1560902713
hex3d830df8

1031998968 has 640 divisors, whose sum is σ = 4078609920. Its totient is φ = 235146240.

The previous prime is 1031998963. The next prime is 1031998969. The reversal of 1031998968 is 8698991301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031998963) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23999955 + ... + 23999997.

It is an arithmetic number, because the mean of its divisors is an integer number (6372828).

Almost surely, 21031998968 is an apocalyptic number.

1031998968 is a gapful number since it is divisible by the number (18) 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 1031998968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039304960).

1031998968 is an abundant number, since it is smaller than the sum of its proper divisors (3046610952).

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

1031998968 is a wasteful number, since it uses less digits than its factorization.

1031998968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1031998968 is about 32124.7407460356. The cubic root of 1031998968 is about 1010.5545325900.

It can be divided in two parts, 1031 and 998968, that added together give a palindrome (999999).

The spelling of 1031998968 in words is "one billion, thirty-one million, nine hundred ninety-eight thousand, nine hundred sixty-eight".