345355248 has 160 divisors (see below), whose sum is σ = 1097072640. Its totient is φ = 91411200.

The previous prime is 345355223. The next prime is 345355249. The reversal of 345355248 is 842553543.

It is a happy number.

It is a super-2 number, since 2×345355248² = 238540494642283008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345355249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299473 + ... + 300623.

It is an arithmetic number, because the mean of its divisors is an integer number (6856704).

Almost surely, 2^345355248 is an apocalyptic number.

345355248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345355248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548536320).

345355248 is an abundant number, since it is smaller than the sum of its proper divisors (751717392).

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

345355248 is a wasteful number, since it uses less digits than its factorization.

345355248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1229 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The square root of 345355248 is about 18583.7361152164. The cubic root of 345355248 is about 701.5985561993.

It can be divided in two parts, 3453 and 55248, that multiplied together give a square (190771344 = 13812²).

The spelling of 345355248 in words is "three hundred forty-five million, three hundred fifty-five thousand, two hundred forty-eight".