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340048368 = 2435117951
BaseRepresentation
bin10100010001001…
…011100111110000
3212200212020200000
4110101023213300
51144023021433
653424230000
711266235442
oct2421134760
9780766600
10340048368
11164a48410
1295a6b300
13555b066a
143323a492
151ecc0113
hex1444b9f0

340048368 has 120 divisors (see below), whose sum is σ = 1076764416. Its totient is φ = 103032000.

The previous prime is 340048367. The next prime is 340048369. The reversal of 340048368 is 863840043.

It is an interprime number because it is at equal distance from previous prime (340048367) and next prime (340048369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340048363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38793 + ... + 46743.

Almost surely, 2340048368 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 340048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538382208).

340048368 is an abundant number, since it is smaller than the sum of its proper divisors (736716048).

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

340048368 is a wasteful number, since it uses less digits than its factorization.

340048368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 340048368 is about 18440.4004294918. The cubic root of 340048368 is about 697.9862997888.

The spelling of 340048368 in words is "three hundred forty million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 7951 10692 14256 15902 21384 23853 31804 42768 47706 63608 71559 87461 95412 127216 143118 174922 190824 214677 262383 286236 349844 381648 429354 524766 572472 644031 699688 787149 858708 1049532 1144944 1288062 1399376 1574298 1717416 1932093 2099064 2361447 2576124 3148596 3434832 3864186 4198128 4722894 5152248 6297192 7084341 7728372 9445788 10304496 12594384 14168682 15456744 18891576 21253023 28337364 30913488 37783152 42506046 56674728 85012092 113349456 170024184 340048368