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1934910096 = 243716734483
BaseRepresentation
bin111001101010100…
…0110001010010000
311222211212121122220
41303111012022100
512430314110341
6515555501040
765643315210
oct16325061220
94884777586
101934910096
1190322a659
1245bbb7780
1324ab37722
14144d94240
15b4d06a66
hex73546290

1934910096 has 80 divisors (see below), whose sum is σ = 5746965504. Its totient is φ = 549505152.

The previous prime is 1934910083. The next prime is 1934910127. The reversal of 1934910096 is 6900194391.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38871 + ... + 73353.

Almost surely, 21934910096 is an apocalyptic number.

1934910096 is a gapful number since it is divisible by the number (16) 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 1934910096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873482752).

1934910096 is an abundant number, since it is smaller than the sum of its proper divisors (3812055408).

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

1934910096 is a wasteful number, since it uses less digits than its factorization.

1934910096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668 (or 34662 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 1934910096 is about 43987.6129836571. The cubic root of 1934910096 is about 1246.1020109939.

The spelling of 1934910096 in words is "one billion, nine hundred thirty-four million, nine hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 2004 2338 2672 3507 4008 4676 7014 8016 9352 14028 18704 28056 34483 56112 68966 103449 137932 206898 241381 275864 413796 482762 551728 724143 827592 965524 1448286 1655184 1931048 2896572 3862096 5758661 5793144 11517322 11586288 17275983 23034644 34551966 40310627 46069288 69103932 80621254 92138576 120931881 138207864 161242508 241863762 276415728 322485016 483727524 644970032 967455048 1934910096