Search a number
-
+
345454320 = 24351439393
BaseRepresentation
bin10100100101110…
…011011011110000
3220002000220020110
4110211303123300
51201414014240
654140141320
711363212311
oct2445633360
9802026213
10345454320
11167aaaa42
1297837840
1356754153
1433c46608
15204dbc80
hex149736f0

345454320 has 40 divisors (see below), whose sum is σ = 1070909136. Its totient is φ = 92121088.

The previous prime is 345454313. The next prime is 345454349. The reversal of 345454320 is 23454543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719457 + ... + 719936.

Almost surely, 2345454320 is an apocalyptic number.

345454320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345454320 is an abundant number, since it is smaller than the sum of its proper divisors (725454816).

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

345454320 is a wasteful number, since it uses less digits than its factorization.

345454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439409 (or 1439403 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 345454320 is about 18586.4014806525. The cubic root of 345454320 is about 701.6656389371.

The spelling of 345454320 in words is "three hundred forty-five million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1439393 2878786 4318179 5757572 7196965 8636358 11515144 14393930 17272716 21590895 23030288 28787860 34545432 43181790 57575720 69090864 86363580 115151440 172727160 345454320