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3361495416 = 2333143179587
BaseRepresentation
bin1100100001011100…
…0101100101111000
322200021020122211020
43020113011211320
523341020323131
61313320302440
7146205145116
oct31027054570
98607218736
103361495416
111475527294
12799911a20
13417563b56
1423c626ab6
1514a19d996
hexc85c5978

3361495416 has 128 divisors (see below), whose sum is σ = 8941363200. Its totient is φ = 1051424640.

The previous prime is 3361495369. The next prime is 3361495439. The reversal of 3361495416 is 6145941633.

It is a happy number.

It is a super-2 number, since 2×33614954162 = 22599302863578026112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5726275 + ... + 5726861.

It is an arithmetic number, because the mean of its divisors is an integer number (69854400).

Almost surely, 23361495416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361495416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470681600).

3361495416 is an abundant number, since it is smaller than the sum of its proper divisors (5579867784).

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

3361495416 is a wasteful number, since it uses less digits than its factorization.

3361495416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 3361495416 is about 57978.4047383161. The cubic root of 3361495416 is about 1497.9966464631.

The spelling of 3361495416 in words is "three billion, three hundred sixty-one million, four hundred ninety-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 179 186 248 258 344 358 372 516 537 587 716 744 1032 1074 1174 1333 1432 1761 2148 2348 2666 3522 3999 4296 4696 5332 5549 7044 7697 7998 10664 11098 14088 15394 15996 16647 18197 22196 23091 25241 30788 31992 33294 36394 44392 46182 50482 54591 61576 66588 72788 75723 92364 100964 105073 109182 133176 145576 151446 184728 201928 210146 218364 238607 302892 315219 420292 436728 477214 605784 630438 715821 782471 840584 954428 1260876 1431642 1564942 1908856 2347413 2521752 2863284 3129884 3257263 4518139 4694826 5726568 6259768 6514526 9036278 9389652 9771789 13029052 13554417 18072556 18779304 19543578 26058104 27108834 36145112 39087156 54217668 78174312 108435336 140062309 280124618 420186927 560249236 840373854 1120498472 1680747708 3361495416