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3540435642 = 235191273019
BaseRepresentation
bin1101001100000110…
…1100001010111010
3100010201221202200000
43103001230022322
524222322420032
61343151453430
7153510130542
oct32301541272
910121852600
103540435642
111557535777
12829827276
13445656543
142582c6322
1515ac47e7c
hexd306c2ba

3540435642 has 96 divisors (see below), whose sum is σ = 8442470400. Its totient is φ = 1108861488.

The previous prime is 3540435611. The next prime is 3540435643. The reversal of 3540435642 is 2465340453.

3540435642 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 4 + 3 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3540435597 and 3540435606.

It is not an unprimeable number, because it can be changed into a prime (3540435643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171209 + ... + 1174227.

It is an arithmetic number, because the mean of its divisors is an integer number (87942400).

Almost surely, 23540435642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540435642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221235200).

3540435642 is an abundant number, since it is smaller than the sum of its proper divisors (4902034758).

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

3540435642 is a wasteful number, since it uses less digits than its factorization.

3540435642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3540435642 is about 59501.5599963564. The cubic root of 3540435642 is about 1524.1190851826.

The spelling of 3540435642 in words is "three billion, five hundred forty million, four hundred thirty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 127 162 171 243 254 342 381 486 513 762 1026 1143 1539 2286 2413 3019 3078 3429 4617 4826 6038 6858 7239 9057 9234 10287 14478 18114 20574 21717 27171 30861 43434 54342 57361 61722 65151 81513 114722 130302 163026 172083 195453 244539 344166 383413 390906 489078 516249 586359 733617 766826 1032498 1150239 1172718 1467234 1548747 2300478 3097494 3450717 4646241 6901434 7284847 9292482 10352151 13938723 14569694 20704302 21854541 27877446 31056453 43709082 62112906 65563623 93169359 131127246 186338718 196690869 393381738 590072607 1180145214 1770217821 3540435642