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1031400440 = 23576535641
BaseRepresentation
bin111101011110011…
…110101111111000
32122212202120102022
4331132132233320
54103014303230
6250202254012
734362521240
oct7536365770
92585676368
101031400440
1148a220464
122494b7308
131358b2725
149ada2b20
15608351e5
hex3d79ebf8

1031400440 has 64 divisors (see below), whose sum is σ = 2656704960. Its totient is φ = 353018880.

The previous prime is 1031400347. The next prime is 1031400481. The reversal of 1031400440 is 440041301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180020 + ... + 185660.

It is an arithmetic number, because the mean of its divisors is an integer number (41511015).

Almost surely, 21031400440 is an apocalyptic number.

1031400440 is a gapful number since it is divisible by the number (10) 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 1031400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328352480).

1031400440 is an abundant number, since it is smaller than the sum of its proper divisors (1625304520).

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

1031400440 is a wasteful number, since it uses less digits than its factorization.

1031400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1031400440 is about 32115.4237088661. The cubic root of 1031400440 is about 1010.3591311828.

Adding to 1031400440 its reverse (440041301), we get a palindrome (1471441741).

The spelling of 1031400440 in words is "one billion, thirty-one million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 653 1306 2612 3265 4571 5224 5641 6530 9142 11282 13060 18284 22564 22855 26120 28205 36568 39487 45128 45710 56410 78974 91420 112820 157948 182840 197435 225640 315896 394870 789740 1579480 3683573 7367146 14734292 18417865 25785011 29468584 36835730 51570022 73671460 103140044 128925055 147342920 206280088 257850110 515700220 1031400440