354023040 has 384 divisors, whose sum is σ = 1356289920. Its totient is φ = 78274560.

The previous prime is 354023027. The next prime is 354023053. The reversal of 354023040 is 40320453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354023027) and next prime (354023053).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 354022998 and 354023016.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4986205 + ... + 4986275.

It is an arithmetic number, because the mean of its divisors is an integer number (3532005).

Almost surely, 2^354023040 is an apocalyptic number.

354023040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 18815×18816.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678144960).

354023040 is an abundant number, since it is smaller than the sum of its proper divisors (1002266880).

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

354023040 is a wasteful number, since it uses less digits than its factorization.

354023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 354023040 is about 18815.4999933565. The cubic root of 354023040 is about 707.4197422560.

Adding to 354023040 its reverse (40320453), we get a palindrome (394343493).

The spelling of 354023040 in words is "three hundred fifty-four million, twenty-three thousand, forty".