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3326142435 = 3571173103383
BaseRepresentation
bin1100011001000000…
…1110011111100011
322120210201112122120
43012100032133203
523302443024220
61310014435323
7145265513160
oct30620163743
98523645576
103326142435
111457580050
12789b02b43
13410136525
14237a63067
15147018a40
hexc640e7e3

3326142435 has 128 divisors (see below), whose sum is σ = 6808928256. Its totient is φ = 1346595840.

The previous prime is 3326142433. The next prime is 3326142437. The reversal of 3326142435 is 5342416233.

It is a happy number.

3326142435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3326142433) and next prime (3326142437).

It is not a de Polignac number, because 3326142435 - 21 = 3326142433 is a prime.

It is a super-2 number, since 2×33261424352 = 22126446995815458450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3326142396 and 3326142405.

It is not an unprimeable number, because it can be changed into a prime (3326142431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8684254 + ... + 8684636.

It is an arithmetic number, because the mean of its divisors is an integer number (53194752).

Almost surely, 23326142435 is an apocalyptic number.

3326142435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3326142435 is an abundant number, since it is smaller than the sum of its proper divisors (3482785821).

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

3326142435 is a wasteful number, since it uses less digits than its factorization.

3326142435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585.

The product of its digits is 51840, while the sum is 33.

The square root of 3326142435 is about 57672.7182903667. The cubic root of 3326142435 is about 1492.7266312977.

Adding to 3326142435 its reverse (5342416233), we get a palindrome (8668558668).

The spelling of 3326142435 in words is "three billion, three hundred twenty-six million, one hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 73 77 103 105 165 219 231 309 365 383 385 511 515 721 803 1095 1133 1149 1155 1533 1545 1915 2163 2409 2555 2681 3399 3605 4015 4213 5621 5665 5745 7519 7665 7931 8043 10815 12045 12639 13405 16863 16995 21065 22557 23793 27959 28105 29491 37595 39449 39655 40215 52633 63195 82709 83877 84315 88473 112785 118347 118965 139795 147455 157899 195713 197245 248127 263165 276143 307549 413545 419385 433939 442365 578963 587139 591735 789495 828429 922647 978565 1240635 1301817 1380715 1537745 1736889 2152843 2169695 2879777 2894815 2935695 3037573 4142145 4613235 6458529 6509085 8639331 8684445 9112719 10764215 14398885 15187865 20158439 31677547 32292645 43196655 45563595 60475317 95032641 100792195 158387735 221742829 302376585 475163205 665228487 1108714145 3326142435