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1334140410 = 235417115277
BaseRepresentation
bin100111110000101…
…0101110111111010
310102222102100120210
41033201111313322
510213014443120
6340215131550
745030002121
oct11741256772
93388370523
101334140410
116250a6489
12312973bb6
1318352c6c5
14c928aab8
157c1d5ce0
hex4f855dfa

1334140410 has 64 divisors (see below), whose sum is σ = 3326448384. Its totient is φ = 342182400.

The previous prime is 1334140363. The next prime is 1334140427. The reversal of 1334140410 is 140414331.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79692 + ... + 94968.

It is an arithmetic number, because the mean of its divisors is an integer number (51975756).

Almost surely, 21334140410 is an apocalyptic number.

1334140410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663224192).

1334140410 is an abundant number, since it is smaller than the sum of its proper divisors (1992307974).

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

1334140410 is a wasteful number, since it uses less digits than its factorization.

1334140410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1334140410 is about 36525.8868475496. The cubic root of 1334140410 is about 1100.8644472084.

Adding to 1334140410 its reverse (140414331), we get a palindrome (1474554741).

The spelling of 1334140410 in words is "one billion, three hundred thirty-four million, one hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 71 82 123 142 205 213 246 355 410 426 615 710 1065 1230 2130 2911 5822 8733 14555 15277 17466 29110 30554 43665 45831 76385 87330 91662 152770 229155 458310 626357 1084667 1252714 1879071 2169334 3131785 3254001 3758142 5423335 6263570 6508002 9395355 10846670 16270005 18790710 32540010 44471347 88942694 133414041 222356735 266828082 444713470 667070205 1334140410