Search a number
-
+
340882368 = 26317181577
BaseRepresentation
bin10100010100010…
…111001111000000
3212202102121200220
4110110113033000
51144231213433
653454143040
711306311101
oct2424271700
9782377626
10340882368
11165467a72
12961b1a80
1355813158
14333b63a8
151edd72b3
hex145173c0

340882368 has 112 divisors (see below), whose sum is σ = 961912224. Its totient is φ = 106168320.

The previous prime is 340882331. The next prime is 340882387. The reversal of 340882368 is 863288043.

It is a Cunningham number, because it is equal to 184632-1.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590496 + ... + 591072.

It is an arithmetic number, because the mean of its divisors is an integer number (8588502).

Almost surely, 2340882368 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 340882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480956112).

340882368 is an abundant number, since it is smaller than the sum of its proper divisors (621029856).

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

340882368 is a wasteful number, since it uses less digits than its factorization.

340882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 340882368 is about 18462.9999729188. Note that the first 4 decimals coincide. The cubic root of 340882368 is about 698.5564591884.

The spelling of 340882368 in words is "three hundred forty million, eight hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 181 192 204 272 362 408 543 544 577 724 816 1086 1088 1154 1448 1632 1731 2172 2308 2896 3077 3264 3462 4344 4616 5792 6154 6924 8688 9231 9232 9809 11584 12308 13848 17376 18462 18464 19618 24616 27696 29427 34752 36924 36928 39236 49232 55392 58854 73848 78472 98464 104437 110784 117708 147696 156944 196928 208874 235416 295392 313311 313888 417748 470832 590784 626622 627776 835496 941664 1253244 1670992 1775429 1883328 2506488 3341984 3550858 5012976 5326287 6683968 7101716 10025952 10652574 14203432 20051904 21305148 28406864 42610296 56813728 85220592 113627456 170441184 340882368