Search a number
-
+
343403740 = 225173121051
BaseRepresentation
bin10100011101111…
…110110011011100
3212221011201101001
4110131332303130
51200402404430
654024200044
711336612041
oct2435766334
9787151331
10343403740
1116692a349
1297009024
13561b69a4
14338711c8
15202343ca
hex1477ecdc

343403740 has 72 divisors (see below), whose sum is σ = 789744816. Its totient is φ = 124992000.

The previous prime is 343403713. The next prime is 343403773. The reversal of 343403740 is 47304343.

It is a super-2 number, since 2×3434037402 = 235852257291975200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343403699 and 343403708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326215 + ... + 327265.

It is an arithmetic number, because the mean of its divisors is an integer number (10968678).

Almost surely, 2343403740 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 343403740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394872408).

343403740 is an abundant number, since it is smaller than the sum of its proper divisors (446341076).

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

343403740 is a wasteful number, since it uses less digits than its factorization.

343403740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 343403740 is about 18531.1559272486. The cubic root of 343403740 is about 700.2745453683.

The spelling of 343403740 in words is "three hundred forty-three million, four hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 961 1051 1054 1922 2102 2108 2635 3844 4204 4805 5255 5270 9610 10510 10540 16337 17867 19220 21020 32581 32674 35734 65162 65348 71468 81685 89335 130324 162905 163370 178670 325810 326740 357340 553877 651620 1010011 1107754 2020022 2215508 2769385 4040044 5050055 5538770 10100110 11077540 17170187 20200220 34340374 68680748 85850935 171701870 343403740