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327421248 = 26371122147
BaseRepresentation
bin10011100001000…
…000110101000000
3211211002201111220
4103201000311000
51132304434443
652253435040
711054014620
oct2341006500
9754081456
10327421248
11158903480
129179ba80
1352aac0ab
14316b0880
151db28a83
hex13840d40

327421248 has 112 divisors (see below), whose sum is σ = 1080113664. Its totient is φ = 85040640.

The previous prime is 327421247. The next prime is 327421291. The reversal of 327421248 is 842124723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327421247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711 + ... + 25857.

It is an arithmetic number, because the mean of its divisors is an integer number (9643872).

Almost surely, 2327421248 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 327421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540056832).

327421248 is an abundant number, since it is smaller than the sum of its proper divisors (752692416).

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

327421248 is a wasteful number, since it uses less digits than its factorization.

327421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22180 (or 22170 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 327421248 is about 18094.7851051069. The cubic root of 327421248 is about 689.2375867858.

The spelling of 327421248 in words is "three hundred twenty-seven million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 22147 44294 66441 88588 132882 155029 177176 243617 265764 310058 354352 465087 487234 531528 620116 708704 730851 930174 974468 1063056 1240232 1417408 1461702 1705319 1860348 1948936 2126112 2480464 2923404 3410638 3720696 3897872 4252224 4960928 5115957 5846808 6821276 7441392 7795744 9921856 10231914 11693616 13642552 14882784 15591488 20463828 23387232 27285104 29765568 40927656 46774464 54570208 81855312 109140416 163710624 327421248