Search a number
-
+
1334354120 = 23511371353
BaseRepresentation
bin100111110001000…
…1010000011001000
310102222211012201222
41033202022003020
510213043312440
6340223501212
745031552151
oct11742120310
93388735658
101334354120
11625232000
12312a57808
131835a5a68
14c9304928
157c2292b5
hex4f88a0c8

1334354120 has 128 divisors (see below), whose sum is σ = 3358298880. Its totient is φ = 477030400.

The previous prime is 1334354117. The next prime is 1334354149. The reversal of 1334354120 is 214534331.

It is a self number, because there is not a number n which added to its sum of digits gives 1334354120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3779864 + ... + 3780216.

It is an arithmetic number, because the mean of its divisors is an integer number (26236710).

Almost surely, 21334354120 is an apocalyptic number.

1334354120 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 1334354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679149440).

1334354120 is an abundant number, since it is smaller than the sum of its proper divisors (2023944760).

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

1334354120 is a wasteful number, since it uses less digits than its factorization.

1334354120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1334354120 is about 36528.8121898317. The cubic root of 1334354120 is about 1100.9232249248.

Adding to 1334354120 its reverse (214534331), we get a palindrome (1548888451).

The spelling of 1334354120 in words is "one billion, three hundred thirty-four million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 121 142 220 242 284 353 355 440 484 568 605 706 710 781 968 1210 1331 1412 1420 1562 1765 2420 2662 2824 2840 3124 3530 3883 3905 4840 5324 6248 6655 7060 7766 7810 8591 10648 13310 14120 15532 15620 17182 19415 25063 26620 31064 31240 34364 38830 42713 42955 50126 53240 68728 77660 85426 85910 94501 100252 125315 155320 170852 171820 189002 200504 213565 250630 275693 341704 343640 378004 427130 469843 472505 501260 551386 756008 854260 939686 945010 1002520 1102772 1378465 1708520 1879372 1890020 2205544 2349215 2756930 3032623 3758744 3780040 4698430 5513860 6065246 9396860 11027720 12130492 15163115 18793720 24260984 30326230 33358853 60652460 66717706 121304920 133435412 166794265 266870824 333588530 667177060 1334354120