Search a number
-
+
345422540 = 225412231889
BaseRepresentation
bin10100100101101…
…011101011001100
3220001222021122102
4110211223223030
51201412010130
654135334232
711363020541
oct2445535314
9801867572
10345422540
11167a89081
1297821378
1356742848
1433c38bc8
15204d2645
hex1496bacc

345422540 has 48 divisors (see below), whose sum is σ = 746807040. Its totient is φ = 134123520.

The previous prime is 345422477. The next prime is 345422557. The reversal of 345422540 is 45224543.

It is a super-2 number, since 2×3454225402 = 238633462280103200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181916 + ... + 183804.

It is an arithmetic number, because the mean of its divisors is an integer number (15558480).

Almost surely, 2345422540 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 345422540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403520).

345422540 is an abundant number, since it is smaller than the sum of its proper divisors (401384500).

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

345422540 is a wasteful number, since it uses less digits than its factorization.

345422540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 345422540 is about 18585.5465348749. The cubic root of 345422540 is about 701.6441217479.

The spelling of 345422540 in words is "three hundred forty-five million, four hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 223 410 446 820 892 1115 1889 2230 3778 4460 7556 9143 9445 18286 18890 36572 37780 45715 77449 91430 154898 182860 309796 387245 421247 774490 842494 1548980 1684988 2106235 4212470 8424940 17271127 34542254 69084508 86355635 172711270 345422540