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354000140 = 225131638353
BaseRepresentation
bin10101000110011…
…001110100001100
3220200010001220022
4111012121310030
51211111001030
655043241312
711525644244
oct2506316414
9820101808
10354000140
111719075aa
129a679238
1358456b50
143502cb24
1521128de5
hex15199d0c

354000140 has 48 divisors (see below), whose sum is σ = 805592928. Its totient is φ = 129890304.

The previous prime is 354000137. The next prime is 354000167. The reversal of 354000140 is 41000453.

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 15 ways as a sum of consecutive naturals, for example, 38204 + ... + 46556.

It is an arithmetic number, because the mean of its divisors is an integer number (16783186).

Almost surely, 2354000140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402796464).

354000140 is an abundant number, since it is smaller than the sum of its proper divisors (451592788).

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

354000140 is a wasteful number, since it uses less digits than its factorization.

354000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 354000140 is about 18814.8914426844. The cubic root of 354000140 is about 707.4044887653.

Adding to 354000140 its reverse (41000453), we get a palindrome (395000593).

The spelling of 354000140 in words is "three hundred fifty-four million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8353 8476 10595 16706 21190 33412 41765 42380 83530 108589 167060 217178 434356 542945 1085890 1361539 2171780 2723078 5446156 6807695 13615390 17700007 27230780 35400014 70800028 88500035 177000070 354000140