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354142140 = 2235111931911
BaseRepresentation
bin10101000110111…
…100011110111100
3220200101021200120
4111012330132330
51211130022030
655050254540
711530105242
oct2506743674
9820337616
10354142140
111719a4260
129a727450
13584a6681
1435068792
1521156010
hex151bc7bc

354142140 has 192 divisors, whose sum is σ = 1176698880. Its totient is φ = 78624000.

The previous prime is 354142127. The next prime is 354142153. The reversal of 354142140 is 41241453.

It is an interprime number because it is at equal distance from previous prime (354142127) and next prime (354142153).

It is a self number, because there is not a number n which added to its sum of digits gives 354142140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388285 + ... + 389195.

It is an arithmetic number, because the mean of its divisors is an integer number (6128640).

Almost surely, 2354142140 is an apocalyptic number.

354142140 is a gapful number since it is divisible by the number (30) 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 354142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588349440).

354142140 is an abundant number, since it is smaller than the sum of its proper divisors (822556740).

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

354142140 is a wasteful number, since it uses less digits than its factorization.

354142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 354142140 is about 18818.6646710121. The cubic root of 354142140 is about 707.4990631244.

Adding to 354142140 its reverse (41241453), we get a palindrome (395383593).

The spelling of 354142140 in words is "three hundred fifty-four million, one hundred forty-two thousand, one hundred forty".