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350205140 = 225312112677
BaseRepresentation
bin10100110111111…
…011010011010100
3220101222021010202
4110313323103110
51204123031030
654430040032
711451460145
oct2467732324
9811867122
10350205140
1116a75533a
1299349018
135772869c
1434721acc
1520b29745
hex14dfb4d4

350205140 has 48 divisors (see below), whose sum is σ = 763037184. Its totient is φ = 134870400.

The previous prime is 350205133. The next prime is 350205161. The reversal of 350205140 is 41502053.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 129482 + ... + 132158.

It is an arithmetic number, because the mean of its divisors is an integer number (15896608).

Almost surely, 2350205140 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 350205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381518592).

350205140 is an abundant number, since it is smaller than the sum of its proper divisors (412832044).

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

350205140 is a wasteful number, since it uses less digits than its factorization.

350205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 350205140 is about 18713.7687278645. The cubic root of 350205140 is about 704.8675303978.

Adding to 350205140 its reverse (41502053), we get a palindrome (391707193).

The spelling of 350205140 in words is "three hundred fifty million, two hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 211 310 422 620 844 1055 2110 2677 4220 5354 6541 10708 13082 13385 26164 26770 32705 53540 65410 82987 130820 165974 331948 414935 564847 829870 1129694 1659740 2259388 2824235 5648470 11296940 17510257 35020514 70041028 87551285 175102570 350205140