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343391340 = 223531353523
BaseRepresentation
bin10100011101111…
…011110001101100
3212221011002100210
4110131323301230
51200402010330
654024022420
711336530635
oct2435736154
9787132323
10343391340
11166920aa6
1297001a10
13561b1156
143386a88c
15202308b0
hex1477bc6c

343391340 has 96 divisors (see below), whose sum is σ = 997226496. Its totient is φ = 88197120.

The previous prime is 343391329. The next prime is 343391369. The reversal of 343391340 is 43193343.

343391340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3433913402 = 235835224773991200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343391298 and 343391307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656319 + ... + 656841.

It is an arithmetic number, because the mean of its divisors is an integer number (10387776).

Almost surely, 2343391340 is an apocalyptic number.

343391340 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 343391340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498613248).

343391340 is an abundant number, since it is smaller than the sum of its proper divisors (653835156).

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

343391340 is a wasteful number, since it uses less digits than its factorization.

343391340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 343391340 is about 18530.8213525467. The cubic root of 343391340 is about 700.2661165057.

The spelling of 343391340 in words is "three hundred forty-three million, three hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 353 372 465 523 620 706 930 1046 1059 1412 1569 1765 1860 2092 2118 2615 3138 3530 4236 5230 5295 6276 7060 7845 10460 10590 10943 15690 16213 21180 21886 31380 32426 32829 43772 48639 54715 64852 65658 81065 97278 109430 131316 162130 164145 184619 194556 218860 243195 324260 328290 369238 486390 553857 656580 738476 923095 972780 1107714 1846190 2215428 2769285 3692380 5538570 5723189 11077140 11446378 17169567 22892756 28615945 34339134 57231890 68678268 85847835 114463780 171695670 343391340