363146340 has 48 divisors (see below), whose sum is σ = 1024837632. Its totient is φ = 96074496.

The previous prime is 363146339. The next prime is 363146341. The reversal of 363146340 is 43641363.

It is an interprime number because it is at equal distance from previous prime (363146339) and next prime (363146341).

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

It is a junction number, because it is equal to n+sod(n) for n = 363146298 and 363146307.

It is not an unprimeable number, because it can be changed into a prime (363146341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16209 + ... + 31448.

It is an arithmetic number, because the mean of its divisors is an integer number (21350784).

Almost surely, 2^363146340 is an apocalyptic number.

363146340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363146340 is an abundant number, since it is smaller than the sum of its proper divisors (661691292).

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

363146340 is a wasteful number, since it uses less digits than its factorization.

363146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47796 (or 47794 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 363146340 is about 19056.3989252954. The cubic root of 363146340 is about 713.4450960840.

The spelling of 363146340 in words is "three hundred sixty-three million, one hundred forty-six thousand, three hundred forty".