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3416255540 = 2251671815651
BaseRepresentation
bin1100101110011111…
…1110110000110100
322211002021202120222
43023213332300310
523444030134130
61322554113512
7150441456455
oct31347766064
98732252528
103416255540
1114a3429395
127b411b898
134259c7aa9
142459dd12c
1514edb8ce5
hexcb9fec34

3416255540 has 48 divisors (see below), whose sum is σ = 7258253184. Its totient is φ = 1350576000.

The previous prime is 3416255483. The next prime is 3416255543. The reversal of 3416255540 is 455526143.

It is a self number, because there is not a number n which added to its sum of digits gives 3416255540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416255543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601715 + ... + 607365.

It is an arithmetic number, because the mean of its divisors is an integer number (151213608).

Almost surely, 23416255540 is an apocalyptic number.

It is an amenable number.

3416255540 is an abundant number, since it is smaller than the sum of its proper divisors (3841997644).

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

3416255540 is a wasteful number, since it uses less digits than its factorization.

3416255540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 3416255540 is about 58448.7428436232. The cubic root of 3416255540 is about 1506.0871958012.

The spelling of 3416255540 in words is "three billion, four hundred sixteen million, two hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 167 181 334 362 668 724 835 905 1670 1810 3340 3620 5651 11302 22604 28255 30227 56510 60454 113020 120908 151135 302270 604540 943717 1022831 1887434 2045662 3774868 4091324 4718585 5114155 9437170 10228310 18874340 20456620 170812777 341625554 683251108 854063885 1708127770 3416255540