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1025334400 = 2752320417
BaseRepresentation
bin111101000111010…
…101110010000000
32122110100101101011
4331013111302000
54044441200100
6245424250304
734260125056
oct7507256200
92573311334
101025334400
11486857a02
12247470994
1313456a65c
149a2641d6
1560037bba
hex3d1d5c80

1025334400 has 48 divisors (see below), whose sum is σ = 2532904290. Its totient is φ = 410132480.

The previous prime is 1025334383. The next prime is 1025334403. The reversal of 1025334400 is 44335201.

It can be written as a sum of positive squares in 3 ways, for example, as 463454784 + 561879616 = 21528^2 + 23704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025334403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157009 + ... + 163408.

Almost surely, 21025334400 is an apocalyptic number.

1025334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025334400 is an abundant number, since it is smaller than the sum of its proper divisors (1507569890).

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

1025334400 is an equidigital number, since it uses as much as digits as its factorization.

1025334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320441 (or 320424 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1025334400 is about 32020.8432118831. The cubic root of 1025334400 is about 1008.3744724391.

Adding to 1025334400 its reverse (44335201), we get a palindrome (1069669601).

The spelling of 1025334400 in words is "one billion, twenty-five million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 320417 640834 1281668 1602085 2563336 3204170 5126672 6408340 8010425 10253344 12816680 16020850 20506688 25633360 32041700 41013376 51266720 64083400 102533440 128166800 205066880 256333600 512667200 1025334400