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3542355040 = 25572451831
BaseRepresentation
bin1101001100100100…
…0000110001100000
3100010212120021120211
43103021000301200
524223320330130
61343300543504
7153532343500
oct32311006140
910125507524
103542355040
111558626854
1282a3b1b94
13445b79093
14258665a00
1515aec6a2a
hexd3240c60

3542355040 has 72 divisors (see below), whose sum is σ = 9735172272. Its totient is φ = 1214519040.

The previous prime is 3542355013. The next prime is 3542355053. The reversal of 3542355040 is 405532453.

It is a happy number.

It is a super-3 number, since 3×35423550403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3542354993 and 3542355011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 218076 + ... + 233755.

It is an arithmetic number, because the mean of its divisors is an integer number (135210726).

Almost surely, 23542355040 is an apocalyptic number.

It is an amenable number.

3542355040 is an abundant number, since it is smaller than the sum of its proper divisors (6192817232).

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

3542355040 is a wasteful number, since it uses less digits than its factorization.

3542355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451860 (or 451845 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 3542355040 is about 59517.6867830059. The cubic root of 3542355040 is about 1524.3944620878.

Adding to 3542355040 its reverse (405532453), we get a palindrome (3947887493).

The spelling of 3542355040 in words is "three billion, five hundred forty-two million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 451831 903662 1807324 2259155 3162817 3614648 4518310 6325634 7229296 9036620 12651268 14458592 15814085 18073240 22139719 25302536 31628170 36146480 44279438 50605072 63256340 72292960 88558876 101210144 110698595 126512680 177117752 221397190 253025360 354235504 442794380 506050720 708471008 885588760 1771177520 3542355040