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328602248 = 23132172292
BaseRepresentation
bin10011100101100…
…001001010001000
3211220022201112122
4103211201022020
51133110232443
652335030412
711100034022
oct2345411210
9756281478
10328602248
1115953a807
129206b408
1353103800
14318db012
151dcad968
hex13961288

328602248 has 108 divisors (see below), whose sum is σ = 734004765. Its totient is φ = 137819136.

The previous prime is 328602247. The next prime is 328602251. The reversal of 328602248 is 842206823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1643524 + 326958724 = 1282^2 + 18082^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12818.

It is not an unprimeable number, because it can be changed into a prime (328602247) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 11331098 + ... + 11331126.

Almost surely, 2328602248 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 328602248

328602248 is an abundant number, since it is smaller than the sum of its proper divisors (405402517).

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

328602248 is a wasteful number, since it uses less digits than its factorization.

328602248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 328602248 is about 18127.3894424983. The cubic root of 328602248 is about 690.0652798281.

The spelling of 328602248 in words is "three hundred twenty-eight million, six hundred two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 104 116 136 169 221 232 289 338 377 442 493 578 676 754 841 884 986 1156 1352 1508 1682 1768 1972 2312 2873 3016 3364 3757 3944 4901 5746 6409 6728 7514 8381 9802 10933 11492 12818 14297 15028 16762 19604 21866 22984 25636 28594 30056 33524 39208 43732 48841 51272 57188 67048 83317 87464 97682 108953 114376 142129 166634 185861 195364 217906 243049 284258 333268 371722 390728 435812 486098 568516 666536 743444 871624 972196 1137032 1416389 1486888 1944392 2416193 2832778 3159637 4832386 5665556 6319274 9664772 11331112 12638548 19329544 25277096 41075281 82150562 164301124 328602248