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353137842 = 23237530237
BaseRepresentation
bin10101000011000…
…111010010110010
3220121111021001100
4111003013102302
51210400402332
655012545230
711515423251
oct2503072262
9817437040
10353137842
11171378762
129a322216
1358214505
1434c86798
152100867c
hex150c74b2

353137842 has 24 divisors (see below), whose sum is σ = 785812716. Its totient is φ = 114530976.

The previous prime is 353137817. The next prime is 353137847. The reversal of 353137842 is 248731353.

It can be written as a sum of positive squares in 2 ways, for example, as 302029641 + 51108201 = 17379^2 + 7149^2 .

It is a junction number, because it is equal to n+sod(n) for n = 353137797 and 353137806.

It is not an unprimeable number, because it can be changed into a prime (353137847) 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 11 ways as a sum of consecutive naturals, for example, 264453 + ... + 265784.

Almost surely, 2353137842 is an apocalyptic number.

353137842 is an abundant number, since it is smaller than the sum of its proper divisors (432674874).

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

353137842 is a wasteful number, since it uses less digits than its factorization.

353137842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530282 (or 530279 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 353137842 is about 18791.9621647129. The cubic root of 353137842 is about 706.8296401835.

The spelling of 353137842 in words is "three hundred fifty-three million, one hundred thirty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 530237 1060474 1590711 3181422 4772133 9544266 19618769 39237538 58856307 117712614 176568921 353137842