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681334400 = 2752212917
BaseRepresentation
bin101000100111000…
…101011010000000
31202111001101002102
4220213011122000
52343410200100
6151335205532
722612150445
oct5047053200
91674041072
10681334400
1131a66068a
121702168a8
13ab205466
14666b99cc
153ec36cd5
hex289c5680

681334400 has 48 divisors (see below), whose sum is σ = 1683116790. Its totient is φ = 272532480.

The previous prime is 681334397. The next prime is 681334421. The reversal of 681334400 is 4433186.

It can be written as a sum of positive squares in 3 ways, for example, as 332989504 + 348344896 = 18248^2 + 18664^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103259 + ... + 109658.

Almost surely, 2681334400 is an apocalyptic number.

It is an amenable number.

681334400 is an abundant number, since it is smaller than the sum of its proper divisors (1001782390).

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

681334400 is a wasteful number, since it uses less digits than its factorization.

681334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212941 (or 212924 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 681334400 is about 26102.3830329723. The cubic root of 681334400 is about 879.9407673630.

Adding to 681334400 its reverse (4433186), we get a palindrome (685767586).

The spelling of 681334400 in words is "six hundred eighty-one 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 212917 425834 851668 1064585 1703336 2129170 3406672 4258340 5322925 6813344 8516680 10645850 13626688 17033360 21291700 27253376 34066720 42583400 68133440 85166800 136266880 170333600 340667200 681334400