Search a number
-
+
345443520 = 2635359837
BaseRepresentation
bin10100100101110…
…000110011000000
3220002000100102110
4110211300303000
51201413143040
654140015320
711363135652
oct2445606300
9802010373
10345443520
11167aa2914
1297831540
135674c266
1433c426d2
15204d8980
hex14970cc0

345443520 has 56 divisors (see below), whose sum is σ = 1096786224. Its totient is φ = 92118016.

The previous prime is 345443513. The next prime is 345443543. The reversal of 345443520 is 25344543.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178959 + ... + 180878.

Almost surely, 2345443520 is an apocalyptic number.

345443520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345443520 is an abundant number, since it is smaller than the sum of its proper divisors (751342704).

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

345443520 is a wasteful number, since it uses less digits than its factorization.

345443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359857 (or 359847 counting only the distinct ones).

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

The square root of 345443520 is about 18586.1109433900. The cubic root of 345443520 is about 701.6583267615.

The spelling of 345443520 in words is "three hundred forty-five million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 359837 719674 1079511 1439348 1799185 2159022 2878696 3598370 4318044 5397555 5757392 7196740 8636088 10795110 11514784 14393480 17272176 21590220 23029568 28786960 34544352 43180440 57573920 69088704 86360880 115147840 172721760 345443520