Search a number
-
+
340242864 = 2431323151157
BaseRepresentation
bin10100010001111…
…011000110110000
3212201020010110120
4110101323012300
51144100232424
653432330240
711301005463
oct2421730660
9781203416
10340242864
11165070555
1295b43980
135564b050
143328b2da
151ed0ca79
hex1447b1b0

340242864 has 160 divisors (see below), whose sum is σ = 1000602624. Its totient is φ = 98841600.

The previous prime is 340242839. The next prime is 340242883. The reversal of 340242864 is 468242043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167074 + ... + 2167230.

Almost surely, 2340242864 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 340242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500301312).

340242864 is an abundant number, since it is smaller than the sum of its proper divisors (660359760).

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

340242864 is a wasteful number, since it uses less digits than its factorization.

340242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 340242864 is about 18445.6733138154. The cubic root of 340242864 is about 698.1193491644.

The spelling of 340242864 in words is "three hundred forty million, two hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 151 156 157 184 208 276 299 302 312 314 368 453 471 552 598 604 624 628 897 906 942 1104 1196 1208 1256 1794 1812 1884 1963 2041 2392 2416 2512 3473 3588 3611 3624 3768 3926 4082 4784 5889 6123 6946 7176 7222 7248 7536 7852 8164 10419 10833 11778 12246 13892 14352 14444 15704 16328 20838 21666 23556 23707 24492 27784 28888 31408 32656 41676 43332 45149 46943 47112 47414 48984 55568 57776 71121 83352 86664 90298 93886 94224 94828 97968 135447 140829 142242 166704 173328 180596 187772 189656 270894 281658 284484 308191 361192 375544 379312 541788 545261 563316 568968 616382 722384 751088 924573 1083576 1090522 1126632 1137936 1232764 1635783 1849146 2167152 2181044 2253264 2465528 3271566 3698292 4362088 4931056 6543132 7088393 7396584 8724176 13086264 14176786 14793168 21265179 26172528 28353572 42530358 56707144 85060716 113414288 170121432 340242864