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340112304 = 24337472393
BaseRepresentation
bin10100010001011…
…011001110110000
3212200222111101000
4110101123032300
51144032043204
653425442000
711266623030
oct2421331660
9780874330
10340112304
11164a91454
1295aa0300
13556037ac
14332558c0
151ecd4039
hex1445b3b0

340112304 has 160 divisors (see below), whose sum is σ = 1139927040. Its totient is φ = 95067648.

The previous prime is 340112303. The next prime is 340112309. The reversal of 340112304 is 403211043.

340112304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (340112303) 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 31 ways as a sum of consecutive naturals, for example, 140932 + ... + 143324.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2340112304 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 340112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

340112304 is an abundant number, since it is smaller than the sum of its proper divisors (799814736).

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

340112304 is a wasteful number, since it uses less digits than its factorization.

340112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 340112304 is about 18442.1339329265. The cubic root of 340112304 is about 698.0300422479.

Adding to 340112304 its reverse (403211043), we get a palindrome (743323347).

It can be divided in two parts, 34011 and 2304, that added together give a triangular number (36315 = T269).

The spelling of 340112304 in words is "three hundred forty million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2256 2393 2538 2632 2961 3024 3384 3948 4786 5076 5264 5922 6768 7179 7896 8883 9572 10152 11844 14358 15792 16751 17766 19144 20304 21537 23688 28716 33502 35532 38288 43074 47376 50253 57432 64611 67004 71064 86148 100506 112471 114864 129222 134008 142128 150759 172296 201012 224942 258444 268016 301518 337413 344592 402024 449884 452277 516888 603036 674826 787297 804048 899768 904554 1012239 1033776 1206072 1349652 1574594 1799536 1809108 2024478 2361891 2412144 2699304 3036717 3149188 3618216 4048956 4723782 5398608 6073434 6298376 7085673 7236432 8097912 9447564 12146868 12596752 14171346 16195824 18895128 21257019 24293736 28342692 37790256 42514038 48587472 56685384 85028076 113370768 170056152 340112304