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353411740 = 225119716561
BaseRepresentation
bin10101000100001…
…010001010011100
3220122000011202201
4111010022022130
51210433133430
655022501244
711520643633
oct2504121234
9818004681
10353411740
11171545520
129a434824
13582ac096
1434d1851a
152105e8ca
hex1510a29c

353411740 has 48 divisors (see below), whose sum is σ = 818030304. Its totient is φ = 127180800.

The previous prime is 353411701. The next prime is 353411741. The reversal of 353411740 is 47114353.

It is a junction number, because it is equal to n+sod(n) for n = 353411699 and 353411708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353411741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13060 + ... + 29620.

It is an arithmetic number, because the mean of its divisors is an integer number (17042298).

Almost surely, 2353411740 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 353411740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409015152).

353411740 is an abundant number, since it is smaller than the sum of its proper divisors (464618564).

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

353411740 is a wasteful number, since it uses less digits than its factorization.

353411740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16678 (or 16676 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 353411740 is about 18799.2483892309. The cubic root of 353411740 is about 707.0123348433.

The spelling of 353411740 in words is "three hundred fifty-three million, four hundred eleven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 16561 21340 33122 66244 82805 165610 182171 331220 364342 728684 910855 1606417 1821710 3212834 3643420 6425668 8032085 16064170 17670587 32128340 35341174 70682348 88352935 176705870 353411740