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3142360353 = 3111931269601
BaseRepresentation
bin1011101101001100…
…1001110100100001
322002222220110000210
42323103021310201
522413421012403
61235451404333
7140604423306
oct27323116441
98088813023
103142360353
111372864930
127384536a9
133b103a032
1421b4a30ad
15135d14b03
hexbb4c9d21

3142360353 has 64 divisors (see below), whose sum is σ = 4993228800. Its totient is φ = 1736640000.

The previous prime is 3142360313. The next prime is 3142360363. The reversal of 3142360353 is 3530632413.

3142360353 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3142360353 - 218 = 3142098209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3142360353.

It is not an unprimeable number, because it can be changed into a prime (3142360313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5228253 + ... + 5228853.

It is an arithmetic number, because the mean of its divisors is an integer number (78019200).

Almost surely, 23142360353 is an apocalyptic number.

3142360353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3142360353 is a deficient number, since it is larger than the sum of its proper divisors (1850868447).

3142360353 is a wasteful number, since it uses less digits than its factorization.

3142360353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934.

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3142360353 is about 56056.7601008121. The cubic root of 3142360353 is about 1464.7111768180.

Adding to 3142360353 its reverse (3530632413), we get a palindrome (6672992766).

The spelling of 3142360353 in words is "three billion, one hundred forty-two million, three hundred sixty thousand, three hundred fifty-three".

Divisors: 1 3 11 19 31 33 57 93 209 269 341 589 601 627 807 1023 1767 1803 2959 5111 6479 6611 8339 8877 11419 15333 18631 19437 19833 25017 34257 55893 56221 91729 125609 158441 161669 168663 204941 275187 353989 376827 475323 485007 614823 1061967 1742851 1778359 3071711 3893879 5011739 5228553 5335077 9215133 11681637 15035217 33788821 55129129 95223041 101366463 165387387 285669123 1047453451 3142360353