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1031450400 = 253252143257
BaseRepresentation
bin111101011110101…
…010111100100000
32122212212002221200
4331132222330200
54103022403100
6250203321200
734363120011
oct7536527440
92585762850
101031450400
1148a254a52
12249520200
131358cc3a6
149adb7008
1560844e00
hex3d7aaf20

1031450400 has 108 divisors (see below), whose sum is σ = 3637177362. Its totient is φ = 275051520.

The previous prime is 1031450389. The next prime is 1031450411. The reversal of 1031450400 is 40541301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1031450389) and next prime (1031450411).

It can be written as a sum of positive squares in 3 ways, for example, as 403045776 + 628404624 = 20076^2 + 25068^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64429 + ... + 78828.

Almost surely, 21031450400 is an apocalyptic number.

1031450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031450400 is an abundant number, since it is smaller than the sum of its proper divisors (2605726962).

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

1031450400 is a wasteful number, since it uses less digits than its factorization.

1031450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143283 (or 143267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1031450400 is about 32116.2015188596. The cubic root of 1031450400 is about 1010.3754445128.

Adding to 1031450400 its reverse (40541301), we get a palindrome (1071991701).

Subtracting from 1031450400 its reverse (40541301), we obtain a palindrome (990909099).

The spelling of 1031450400 in words is "one billion, thirty-one million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 143257 286514 429771 573028 716285 859542 1146056 1289313 1432570 1719084 2148855 2292112 2578626 2865140 3438168 3581425 4297710 4584224 5157252 5730280 6446565 6876336 7162850 8595420 10314504 10744275 11460560 12893130 13752672 14325700 17190840 20629008 21488550 22921120 25786260 28651400 32232825 34381680 41258016 42977100 51572520 57302800 64465650 68763360 85954200 103145040 114605600 128931300 171908400 206290080 257862600 343816800 515725200 1031450400