Search a number
-
+
345454340 = 2257111012221
BaseRepresentation
bin10100100101110…
…011011100000100
3220002000220021012
4110211303130010
51201414014330
654140141352
711363212340
oct2445633404
9802026235
10345454340
11167aaaa60
1297837858
135675416a
1433c46620
15204dbc95
hex14973704

345454340 has 96 divisors (see below), whose sum is σ = 913828608. Its totient is φ = 106560000.

The previous prime is 345454313. The next prime is 345454349. The reversal of 345454340 is 43454543.

It is a junction number, because it is equal to n+sod(n) for n = 345454297 and 345454306.

It is not an unprimeable number, because it can be changed into a prime (345454349) 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, 154430 + ... + 156650.

It is an arithmetic number, because the mean of its divisors is an integer number (9519048).

Almost surely, 2345454340 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 345454340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456914304).

345454340 is an abundant number, since it is smaller than the sum of its proper divisors (568374268).

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

345454340 is a wasteful number, since it uses less digits than its factorization.

345454340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 345454340 is about 18586.4020186802. The cubic root of 345454340 is about 701.6656524780.

The spelling of 345454340 in words is "three hundred forty-five million, four hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2221 2222 2828 3535 4442 4444 5555 7070 7777 8884 11105 11110 14140 15547 15554 22210 22220 24431 31094 31108 38885 44420 48862 62188 77735 77770 97724 122155 155470 155540 171017 224321 244310 310940 342034 448642 488620 684068 855085 897284 1121605 1570247 1710170 2243210 2467531 3140494 3420340 4486420 4935062 6280988 7851235 9870124 12337655 15702470 17272717 24675310 31404940 34545434 49350620 69090868 86363585 172727170 345454340