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340068300 = 2235211137927
BaseRepresentation
bin10100010001010…
…000011111001100
3212200220021000020
4110101100133030
51144024141200
653424502140
711266350525
oct2421203714
9780807006
10340068300
11164a61390
1295a7a950
13555b9760
143324384c
151ecc5ea0
hex144507cc

340068300 has 144 divisors (see below), whose sum is σ = 1156092672. Its totient is φ = 76089600.

The previous prime is 340068293. The next prime is 340068301. The reversal of 340068300 is 3860043.

It is not an unprimeable number, because it can be changed into a prime (340068301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38937 + ... + 46863.

Almost surely, 2340068300 is an apocalyptic number.

340068300 is a gapful number since it is divisible by the number (30) 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 340068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578046336).

340068300 is an abundant number, since it is smaller than the sum of its proper divisors (816024372).

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

340068300 is a wasteful number, since it uses less digits than its factorization.

340068300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 340068300 is about 18440.9408653680. The cubic root of 340068300 is about 697.9999370558. Note that the first 4 decimals are identical.

The spelling of 340068300 in words is "three hundred forty million, sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 7927 8580 10725 14300 15854 21450 23781 31708 39635 42900 47562 79270 87197 95124 103051 118905 158540 174394 198175 206102 237810 261591 309153 348788 396350 412204 435985 475620 515255 523182 594525 618306 792700 871970 1030510 1046364 1133561 1189050 1236612 1307955 1545765 1743940 2061020 2179925 2267122 2378100 2576275 2615910 3091530 3400683 4359850 4534244 5152550 5231820 5667805 6183060 6539775 6801366 7728825 8719700 10305100 11335610 13079550 13602732 15457650 17003415 22671220 26159100 28339025 30915300 34006830 56678050 68013660 85017075 113356100 170034150 340068300