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357781242 = 23731343311
BaseRepresentation
bin10101010100110…
…100111011111010
3220221020011121010
4111110310323322
51213042444432
655300254350
711603043000
oct2524647372
9827204533
10357781242
11173a5a385
129b9a13b6
135917bba0
1435734a70
15216243cc
hex15534efa

357781242 has 128 divisors (see below), whose sum is σ = 922521600. Its totient is φ = 91869120.

The previous prime is 357781219. The next prime is 357781243. The reversal of 357781242 is 242187753.

357781242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 357781242.

It is not an unprimeable number, because it can be changed into a prime (357781243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1150267 + ... + 1150577.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2357781242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357781242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260800).

357781242 is an abundant number, since it is smaller than the sum of its proper divisors (564740358).

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

357781242 is a wasteful number, since it uses less digits than its factorization.

357781242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 357781242 is about 18915.1061852690. The cubic root of 357781242 is about 709.9141878701.

The spelling of 357781242 in words is "three hundred fifty-seven million, seven hundred eighty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 49 78 86 91 98 129 147 182 258 273 294 301 311 343 546 559 602 622 637 686 903 933 1029 1118 1274 1677 1806 1866 1911 2058 2107 2177 3354 3822 3913 4043 4214 4354 4459 6321 6531 7826 8086 8918 11739 12129 12642 13062 13373 13377 14749 15239 23478 24258 26746 26754 27391 28301 29498 30478 40119 44247 45717 54782 56602 80238 82173 84903 88494 91434 93611 106673 164346 169806 173849 187222 191737 198107 213346 280833 320019 347698 383474 396214 521547 561666 575211 594321 640038 655277 1043094 1150422 1188642 1216943 1310554 1386749 1965831 2433886 2773498 3650829 3931662 4160247 4586939 7301658 8320494 8518601 9173878 13760817 17037202 25555803 27521634 51111606 59630207 119260414 178890621 357781242