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345232240 = 24529672221
BaseRepresentation
bin10100100100111…
…101001101110000
3220001121121121021
4110210331031300
51201334412430
654131305224
711361265663
oct2444751560
9801547537
10345232240
11167969101
129774b214
13566a7042
1433bc96da
152049607a
hex1493d370

345232240 has 80 divisors (see below), whose sum is σ = 843115680. Its totient is φ = 131281920.

The previous prime is 345232219. The next prime is 345232247. The reversal of 345232240 is 42232543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345232247) 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, 154330 + ... + 156550.

It is an arithmetic number, because the mean of its divisors is an integer number (10538946).

Almost surely, 2345232240 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 345232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421557840).

345232240 is an abundant number, since it is smaller than the sum of its proper divisors (497883440).

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

345232240 is a wasteful number, since it uses less digits than its factorization.

345232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 345232240 is about 18580.4262599113. The cubic root of 345232240 is about 701.5152482780.

Adding to 345232240 its reverse (42232543), we get a palindrome (387464783).

It can be divided in two parts, 34523 and 2240, that added together give a palindrome (36763).

The spelling of 345232240 in words is "three hundred forty-five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 67 80 116 134 145 232 268 290 335 464 536 580 670 1072 1160 1340 1943 2221 2320 2680 3886 4442 5360 7772 8884 9715 11105 15544 17768 19430 22210 31088 35536 38860 44420 64409 77720 88840 128818 148807 155440 177680 257636 297614 322045 515272 595228 644090 744035 1030544 1190456 1288180 1488070 2380912 2576360 2976140 4315403 5152720 5952280 8630806 11904560 17261612 21577015 34523224 43154030 69046448 86308060 172616120 345232240