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326284140 = 223572138537
BaseRepresentation
bin10011011100101…
…011001101101100
3211201221221200210
4103130223031230
51132012043030
652213222420
711041240500
oct2334531554
9751857623
10326284140
111581a7116
1291331a10
13527a1650
1431496300
151d9a1bb0
hex1372b36c

326284140 has 144 divisors (see below), whose sum is σ = 1144638432. Its totient is φ = 68834304.

The previous prime is 326284139. The next prime is 326284157. The reversal of 326284140 is 41482623.

It is a super-2 number, since 2×3262841402 = 212922680031079200, which contains 22 as substring.

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 = 326284098 and 326284107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33952 + ... + 42488.

It is an arithmetic number, because the mean of its divisors is an integer number (7948878).

Almost surely, 2326284140 is an apocalyptic number.

326284140 is a gapful number since it is divisible by the number (30) 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 326284140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572319216).

326284140 is an abundant number, since it is smaller than the sum of its proper divisors (818354292).

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

326284140 is a wasteful number, since it uses less digits than its factorization.

326284140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 326284140 is about 18063.3369010269. The cubic root of 326284140 is about 688.4387721911.

The spelling of 326284140 in words is "three hundred twenty-six million, two hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 8537 9555 12740 17074 19110 25611 34148 38220 42685 51222 59759 85370 102444 110981 119518 128055 170740 179277 221962 239036 256110 298795 332943 358554 418313 443924 512220 554905 597590 665886 717108 776867 836626 896385 1109810 1195180 1254939 1331772 1553734 1664715 1673252 1792770 2091565 2219620 2330601 2509878 3107468 3329430 3585540 3884335 4183130 4661202 5019756 5438069 6274695 6658860 7768670 8366260 9322404 10876138 11653005 12549390 15537340 16314207 21752276 23306010 25098780 27190345 32628414 46612020 54380690 65256828 81571035 108761380 163142070 326284140