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1334354340 = 2235112418389
BaseRepresentation
bin100111110001000…
…1010000110100100
310102222211020001010
41033202022012210
510213043314330
6340223502220
745031552614
oct11742120644
93388736033
101334354340
11625232190
12312a57970
131835a5ba7
14c9304a44
157c2293b0
hex4f88a1a4

1334354340 has 96 divisors (see below), whose sum is σ = 4093246080. Its totient is φ = 322099200.

The previous prime is 1334354311. The next prime is 1334354353. The reversal of 1334354340 is 434534331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1334354298 and 1334354307.

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 31 ways as a sum of consecutive naturals, for example, 154866 + ... + 163254.

It is an arithmetic number, because the mean of its divisors is an integer number (42637980).

Almost surely, 21334354340 is an apocalyptic number.

1334354340 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 1334354340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046623040).

1334354340 is an abundant number, since it is smaller than the sum of its proper divisors (2758891740).

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

1334354340 is a wasteful number, since it uses less digits than its factorization.

1334354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 1334354340 is about 36528.8152011532. The cubic root of 1334354340 is about 1100.9232854293.

Adding to 1334354340 its reverse (434534331), we get a palindrome (1768888671).

Subtracting from 1334354340 its reverse (434534331), we obtain a square (899820009 = 299972).

The spelling of 1334354340 in words is "one billion, three hundred thirty-four million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 241 330 482 660 723 964 1205 1446 2410 2651 2892 3615 4820 5302 7230 7953 8389 10604 13255 14460 15906 16778 25167 26510 31812 33556 39765 41945 50334 53020 79530 83890 92279 100668 125835 159060 167780 184558 251670 276837 369116 461395 503340 553674 922790 1107348 1384185 1845580 2021749 2768370 4043498 5536740 6065247 8086996 10108745 12130494 20217490 22239239 24260988 30326235 40434980 44478478 60652470 66717717 88956956 111196195 121304940 133435434 222392390 266870868 333588585 444784780 667177170 1334354340