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268432398 = 2321371107151
BaseRepresentation
bin11111111111111…
…11010000001110
3200201002210000200
433333333100032
51022204314043
642345234330
76436431513
oct1777772016
9621083020
10268432398
11128583263
1275a929a6
13437c7450
142791730a
15188757d3
hexffff40e

268432398 has 96 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 80136000.

The previous prime is 268432393. The next prime is 268432421. The reversal of 268432398 is 893234862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268432393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777623 + ... + 1777773.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352).

Almost surely, 2268432398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268432398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

268432398 is an abundant number, since it is smaller than the sum of its proper divisors (376913394).

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

268432398 is a wasteful number, since it uses less digits than its factorization.

268432398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 268432398 is about 16383.9066769803. The cubic root of 268432398 is about 645.0771279681.

It can be divided in two parts, 26843 and 2398, that added together give a square (29241 = 1712).

The spelling of 268432398 in words is "two hundred sixty-eight million, four hundred thirty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 107 117 142 151 213 214 234 302 321 426 453 639 642 906 923 963 1278 1359 1391 1846 1926 1963 2718 2769 2782 3926 4173 5538 5889 7597 8307 8346 10721 11778 12519 15194 16157 16614 17667 21442 22791 25038 32163 32314 35334 45582 48471 64326 68373 96489 96942 98761 136746 139373 145413 192978 197522 210041 278746 290826 296283 418119 420082 592566 630123 836238 888849 1147147 1254357 1260246 1777698 1890369 2294294 2508714 3441441 3780738 6882882 10324323 14912911 20648646 29825822 44738733 89477466 134216199 268432398