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336421540 = 225713259241
BaseRepresentation
bin10100000011010…
…110001010100100
3212110000222121001
4110003112022210
51142110442130
653214403044
711223351550
oct2403261244
9773028531
10336421540
111629a0534
1294800484
1354910900
1432974860
151e8056ca
hex140d62a4

336421540 has 144 divisors (see below), whose sum is σ = 892805760. Its totient is φ = 104232960.

The previous prime is 336421531. The next prime is 336421567. The reversal of 336421540 is 45124633.

336421540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3364215402 = 226358905151943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 336421499 and 336421508.

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, 1395820 + ... + 1396060.

It is an arithmetic number, because the mean of its divisors is an integer number (6200040).

Almost surely, 2336421540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446402880).

336421540 is an abundant number, since it is smaller than the sum of its proper divisors (556384220).

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

336421540 is a wasteful number, since it uses less digits than its factorization.

336421540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 336421540 is about 18341.7976218254. The cubic root of 336421540 is about 695.4959384862.

The spelling of 336421540 in words is "three hundred thirty-six million, four hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 169 182 236 241 260 295 338 364 413 455 482 590 676 767 826 845 910 964 1180 1183 1205 1534 1652 1687 1690 1820 2065 2366 2410 3068 3133 3374 3380 3835 4130 4732 4820 5369 5915 6266 6748 7670 8260 8435 9971 10738 11830 12532 14219 15340 15665 16870 19942 21476 21931 23660 26845 28438 31330 33740 39884 40729 43862 49855 53690 56876 62660 69797 71095 81458 87724 99533 99710 107380 109655 139594 142190 162916 184847 199066 199420 203645 219310 279188 284380 285103 348985 369694 398132 407290 438620 497665 570206 697970 739388 814580 924235 995330 1140412 1293929 1395940 1425515 1848470 1990660 2403011 2587858 2851030 3696940 4806022 5175716 5702060 6469645 9612044 12015055 12939290 16821077 24030110 25878580 33642154 48060220 67284308 84105385 168210770 336421540