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268943480 = 2351319163167
BaseRepresentation
bin10000000001111…
…100000001111000
3200202001202002122
4100001330001320
51022322142410
642404220412
76443660531
oct2001740170
9622052078
10268943480
111288a2243
127609a708
1343945c70
1427a0b688
1518926e55
hex1007c078

268943480 has 128 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 92938752.

The previous prime is 268943473. The next prime is 268943483. The reversal of 268943480 is 84349862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268943483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610357 + ... + 1610523.

It is an arithmetic number, because the mean of its divisors is an integer number (5424300).

Almost surely, 2268943480 is an apocalyptic number.

268943480 is a gapful number since it is divisible by the number (20) 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 268943480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

268943480 is an abundant number, since it is smaller than the sum of its proper divisors (425366920).

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

268943480 is a wasteful number, since it uses less digits than its factorization.

268943480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 268943480 is about 16399.4963337293. The cubic root of 268943480 is about 645.4862667259.

The spelling of 268943480 in words is "two hundred sixty-eight million, nine hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 163 167 190 247 260 326 334 380 494 520 652 668 760 815 835 988 1235 1304 1336 1630 1670 1976 2119 2171 2470 3097 3173 3260 3340 4238 4342 4940 6194 6346 6520 6680 8476 8684 9880 10595 10855 12388 12692 15485 15865 16952 17368 21190 21710 24776 25384 27221 30970 31730 40261 41249 42380 43420 54442 61940 63460 80522 82498 84760 86840 108884 123880 126920 136105 161044 164996 201305 206245 217768 272210 322088 329992 353873 402610 412490 517199 544420 707746 805220 824980 1034398 1088840 1415492 1610440 1649960 1769365 2068796 2585995 2830984 3538730 4137592 5171990 6723587 7077460 10343980 13447174 14154920 20687960 26894348 33617935 53788696 67235870 134471740 268943480