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1342414020 = 223537259277
BaseRepresentation
bin101000000000011…
…1001110011000100
310110112222200211210
41100000321303010
510222124222040
6341112331420
745160221333
oct12000716304
93415880753
101342414020
11629837582
123156a3b70
1318516852c
14ca401d1a
157ccbc480
hex50039cc4

1342414020 has 144 divisors (see below), whose sum is σ = 3942751680. Its totient is φ = 341162496.

The previous prime is 1342414019. The next prime is 1342414043. The reversal of 1342414020 is 204142431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4846122 + ... + 4846398.

It is an arithmetic number, because the mean of its divisors is an integer number (27380220).

Almost surely, 21342414020 is an apocalyptic number.

1342414020 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 1342414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971375840).

1342414020 is an abundant number, since it is smaller than the sum of its proper divisors (2600337660).

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

1342414020 is a wasteful number, since it uses less digits than its factorization.

1342414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1342414020 is about 36638.9685990204. The cubic root of 1342414020 is about 1103.1354125338.

Adding to 1342414020 its reverse (204142431), we get a palindrome (1546556451).

The spelling of 1342414020 in words is "one billion, three hundred forty-two million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 277 295 354 370 444 554 555 590 708 740 831 885 1108 1110 1180 1369 1385 1662 1770 2183 2220 2738 2770 3324 3540 4107 4155 4366 5476 5540 6549 6845 8214 8310 8732 10249 10915 13098 13690 16343 16428 16620 20498 20535 21830 26196 27380 30747 32686 32745 40996 41070 43660 49029 51245 61494 65372 65490 80771 81715 82140 98058 102490 122988 130980 153735 161542 163430 196116 204980 242313 245145 307470 323084 326860 379213 403855 484626 490290 604691 614940 758426 807710 969252 980580 1137639 1209382 1211565 1516852 1615420 1814073 1896065 2275278 2418764 2423130 3023455 3628146 3792130 4550556 4846260 5688195 6046910 7256292 7584260 9070365 11376390 12093820 18140730 22373567 22752780 36281460 44747134 67120701 89494268 111867835 134241402 223735670 268482804 335603505 447471340 671207010 1342414020