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1334230000 = 2454235801
BaseRepresentation
bin100111110000110…
…1011101111110000
310102222120220110221
41033201223233300
510213030330000
6340221102424
745030524245
oct11741535760
93388526427
101334230000
11625157824
123129b7a14
1318356140c
14c92b15cc
157c20261a
hex4f86bbf0

1334230000 has 100 divisors (see below), whose sum is σ = 3371333328. Its totient is φ = 510400000.

The previous prime is 1334229947. The next prime is 1334230013. The reversal of 1334230000 is 324331.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227100 + ... + 232900.

Almost surely, 21334230000 is an apocalyptic number.

1334230000 is a gapful number since it is divisible by the number (10) 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 1334230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685666664).

1334230000 is an abundant number, since it is smaller than the sum of its proper divisors (2037103328).

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

1334230000 is an equidigital number, since it uses as much as digits as its factorization.

1334230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1334230000 is about 36527.1132174444. The cubic root of 1334230000 is about 1100.8890883525.

Adding to 1334230000 its reverse (324331), we get a palindrome (1334554331).

The spelling of 1334230000 in words is "one billion, three hundred thirty-four million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 5801 9200 10000 11500 11602 14375 23000 23204 28750 29005 46000 46408 57500 58010 92816 115000 116020 133423 145025 230000 232040 266846 290050 464080 533692 580100 667115 725125 1067384 1160200 1334230 1450250 2134768 2320400 2668460 2900500 3335575 3625625 5336920 5801000 6671150 7251250 10673840 11602000 13342300 14502500 16677875 26684600 29005000 33355750 53369200 58010000 66711500 83389375 133423000 166778750 266846000 333557500 667115000 1334230000