Search a number
-
+
345388352 = 268960637
BaseRepresentation
bin10100100101100…
…011010101000000
3220001220112202012
4110211203111000
51201404411402
654134512052
711362516061
oct2445432500
9801815665
10345388352
11167a65421
1297805628
135673010a
1433c2a568
15204c7452
hex14963540

345388352 has 28 divisors (see below), whose sum is σ = 693092340. Its totient is φ = 170750976.

The previous prime is 345388349. The next prime is 345388357. The reversal of 345388352 is 253883543.

It can be written as a sum of positive squares in 2 ways, for example, as 234212416 + 111175936 = 15304^2 + 10544^2 .

It is a super-2 number, since 2×3453883522 = 238586227394551808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345388357) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 24623 + ... + 36014.

Almost surely, 2345388352 is an apocalyptic number.

345388352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345388352 is an abundant number, since it is smaller than the sum of its proper divisors (347703988).

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

345388352 is an equidigital number, since it uses as much as digits as its factorization.

345388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60738 (or 60728 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The square root of 345388352 is about 18584.6267651519. The cubic root of 345388352 is about 701.6209727078.

The spelling of 345388352 in words is "three hundred forty-five million, three hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 60637 121274 242548 485096 970192 1940384 3880768 5396693 10793386 21586772 43173544 86347088 172694176 345388352