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1981042434 = 2357582317
BaseRepresentation
bin111011000010100…
…0100111100000010
312010001200101100000
41312011010330002
513024121324214
6524324340430
7100043403630
oct16605047402
95101611300
101981042434
11927279558
12473544716
1325756a577
1414b162350
15b8dba809
hex76144f02

1981042434 has 48 divisors (see below), whose sum is σ = 5087130048. Its totient is φ = 566011152.

The previous prime is 1981042421. The next prime is 1981042447. The reversal of 1981042434 is 4342401891.

It is a happy number.

1981042434 is a `hidden beast` number, since 198 + 10 + 424 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (1981042421) and next prime (1981042447).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 287757 + ... + 294560.

It is an arithmetic number, because the mean of its divisors is an integer number (105981876).

Almost surely, 21981042434 is an apocalyptic number.

1981042434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1981042434 is an abundant number, since it is smaller than the sum of its proper divisors (3106087614).

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

1981042434 is an equidigital number, since it uses as much as digits as its factorization.

1981042434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582341 (or 582329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1981042434 is about 44508.9028622364. The cubic root of 1981042434 is about 1255.9275659913.

The spelling of 1981042434 in words is "one billion, nine hundred eighty-one million, forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 582317 1164634 1746951 3493902 4076219 5240853 8152438 10481706 12228657 15722559 24457314 31445118 36685971 47167677 73371942 94335354 110057913 141503031 220115826 283006062 330173739 660347478 990521217 1981042434