Search a number
-
+
345488140 = 22541616907
BaseRepresentation
bin10100100101111…
…011101100001100
3220002002121122001
4110211323230030
51201421110030
654141002044
711363413024
oct2445735414
9802077561
10345488140
11168023398
1297853324
135676666a
1433c54a84
15204e6cca
hex1497bb0c

345488140 has 48 divisors (see below), whose sum is σ = 755514144. Its totient is φ = 132595200.

The previous prime is 345488137. The next prime is 345488141. The reversal of 345488140 is 41884543.

It is a self number, because there is not a number n which added to its sum of digits gives 345488140.

It is not an unprimeable number, because it can be changed into a prime (345488141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46567 + ... + 53473.

It is an arithmetic number, because the mean of its divisors is an integer number (15739878).

Almost surely, 2345488140 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 345488140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377757072).

345488140 is an abundant number, since it is smaller than the sum of its proper divisors (410026004).

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

345488140 is a wasteful number, since it uses less digits than its factorization.

345488140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 345488140 is about 18587.3112633323. The cubic root of 345488140 is about 701.6885358935.

The spelling of 345488140 in words is "three hundred forty-five million, four hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 6907 10004 12505 13814 25010 27628 34535 50020 69070 138140 283187 421327 566374 842654 1132748 1415935 1685308 2106635 2831870 4213270 5663740 8426540 17274407 34548814 69097628 86372035 172744070 345488140