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353400042 = 231131912729
BaseRepresentation
bin10101000100000…
…111010011101010
3220121222120201110
4111010013103222
51210432300132
655022331150
711520564552
oct2504072352
9817876643
10353400042
11171537756
129a429ab6
13582a6968
1434d14162
152105b1cc
hex151074ea

353400042 has 32 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 116103680.

The previous prime is 353400013. The next prime is 353400049. The reversal of 353400042 is 240004353.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 353399991 and 353400018.

It is not an unprimeable number, because it can be changed into a prime (353400049) by changing a digit.

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, 128134 + ... + 130862.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2353400042 is an apocalyptic number.

353400042 is an abundant number, since it is smaller than the sum of its proper divisors (363650838).

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

353400042 is a wasteful number, since it uses less digits than its factorization.

353400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038.

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

The square root of 353400042 is about 18798.9372571962. The cubic root of 353400042 is about 707.0045340069.

Adding to 353400042 its reverse (240004353), we get a palindrome (593404395).

The spelling of 353400042 in words is "three hundred fifty-three million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 113 191 226 339 382 573 678 1146 2729 5458 8187 16374 21583 43166 64749 129498 308377 521239 616754 925131 1042478 1563717 1850262 3127434 58900007 117800014 176700021 353400042