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354689685 = 3457261293
BaseRepresentation
bin10101001001000…
…010001010010101
3220201102002210000
4111021002022111
51211300032220
655110121513
711534545500
oct2511021225
9821362700
10354689685
11172238679
129a950299
135863896c
143516c137
1521213390
hex15242295

354689685 has 120 divisors (see below), whose sum is σ = 754311096. Its totient is φ = 158941440.

The previous prime is 354689677. The next prime is 354689689. The reversal of 354689685 is 586986453.

It is a happy number.

354689685 is a `hidden beast` number, since 3 + 546 + 8 + 96 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30041361 + 324648324 = 5481^2 + 18018^2 .

It is not a de Polignac number, because 354689685 - 23 = 354689677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354689689) 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 119 ways as a sum of consecutive naturals, for example, 1210399 + ... + 1210691.

Almost surely, 2354689685 is an apocalyptic number.

354689685 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

354689685 is an abundant number, since it is smaller than the sum of its proper divisors (399621411).

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

354689685 is a wasteful number, since it uses less digits than its factorization.

354689685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 354689685 is about 18833.2069759773. The cubic root of 354689685 is about 707.8635006890.

The spelling of 354689685 in words is "three hundred fifty-four million, six hundred eighty-nine thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 61 63 81 105 135 147 183 189 245 293 305 315 405 427 441 549 567 735 879 915 945 1281 1323 1465 1647 2051 2135 2205 2637 2745 2835 2989 3843 3969 4395 4941 6153 6405 6615 7911 8235 8967 10255 11529 13185 14357 14945 17873 18459 19215 19845 23733 24705 26901 30765 34587 39555 43071 44835 53619 55377 57645 71785 80703 89365 92295 118665 125111 129213 134505 160857 166131 172935 215355 242109 268095 276885 375333 387639 403515 482571 625555 646065 804285 830655 875777 1125999 1162917 1210545 1447713 1876665 1938195 2412855 2627331 3377997 4378885 5629995 5814585 7238565 7881993 10133991 13136655 16889985 23645979 39409965 50669955 70937937 118229895 354689685