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3361142436 = 2238311872843
BaseRepresentation
bin1100100001010110…
…1111011010100100
322200020120201121220
43020111233122210
523340423024221
61313304540340
7146202145041
oct31025573244
98606521556
103361142436
111475306073
127997816b0
1341746c2a2
1423c5741c8
1514a12e0c6
hexc856f6a4

3361142436 has 48 divisors (see below), whose sum is σ = 7946636544. Its totient is φ = 1105560736.

The previous prime is 3361142417. The next prime is 3361142483. The reversal of 3361142436 is 6342411633.

3361142436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×33611424363 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3361142397 and 3361142406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180831 + ... + 1183673.

It is an arithmetic number, because the mean of its divisors is an integer number (165554928).

Almost surely, 23361142436 is an apocalyptic number.

It is an amenable number.

3361142436 is an abundant number, since it is smaller than the sum of its proper divisors (4585494108).

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

3361142436 is a wasteful number, since it uses less digits than its factorization.

3361142436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3361142436 is about 57975.3605939627. The cubic root of 3361142436 is about 1497.9442113313.

The spelling of 3361142436 in words is "three billion, three hundred sixty-one million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 1187 2374 2843 3561 4748 5686 7122 8529 11372 14244 17058 34116 98521 197042 235969 295563 394084 471938 591126 707907 943876 1182252 1415814 2831628 3374641 6749282 10123923 13498564 20247846 40495692 280095203 560190406 840285609 1120380812 1680571218 3361142436