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1334023000 = 235323311871
BaseRepresentation
bin100111110000011…
…1001001101011000
310102222012101112021
41033200321031120
510213002214000
6340212424224
745026002612
oct11740711530
93388171467
101334023000
11625026252
12312918074
131834bb12b
14c9259db2
157c1b111a
hex4f839358

1334023000 has 128 divisors (see below), whose sum is σ = 3364208640. Its totient is φ = 493680000.

The previous prime is 1334022979. The next prime is 1334023001. The reversal of 1334023000 is 3204331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712065 + ... + 713935.

It is an arithmetic number, because the mean of its divisors is an integer number (26282880).

Almost surely, 21334023000 is an apocalyptic number.

1334023000 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 1334023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682104320).

1334023000 is an abundant number, since it is smaller than the sum of its proper divisors (2030185640).

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

1334023000 is a wasteful number, since it uses less digits than its factorization.

1334023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1932 counting only the distinct ones).

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

The square root of 1334023000 is about 36524.2795959072. The cubic root of 1334023000 is about 1100.8321526849.

Adding to 1334023000 its reverse (3204331), we get a palindrome (1337227331).

The spelling of 1334023000 in words is "one billion, three hundred thirty-four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 125 155 184 200 230 248 250 310 460 500 575 620 713 775 920 1000 1150 1240 1426 1550 1871 2300 2852 2875 3100 3565 3742 3875 4600 5704 5750 6200 7130 7484 7750 9355 11500 14260 14968 15500 17825 18710 23000 28520 31000 35650 37420 43033 46775 58001 71300 74840 86066 89125 93550 116002 142600 172132 178250 187100 215165 232004 233875 290005 344264 356500 374200 430330 464008 467750 580010 713000 860660 935500 1075825 1160020 1334023 1450025 1721320 1871000 2151650 2320040 2668046 2900050 4303300 5336092 5379125 5800100 6670115 7250125 8606600 10672184 10758250 11600200 13340230 14500250 21516500 26680460 29000500 33350575 43033000 53360920 58001000 66701150 133402300 166752875 266804600 333505750 667011500 1334023000