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3375434916 = 223472575791
BaseRepresentation
bin1100100100110001…
…0000110010100100
322201020110212020000
43021030100302210
523403102404131
61314535141300
7146434503060
oct31114206244
98636425200
103375434916
111482388237
127a2514830
1341a404889
14240414aa0
1514b503ce6
hexc9310ca4

3375434916 has 120 divisors (see below), whose sum is σ = 10125620736. Its totient is φ = 960491520.

The previous prime is 3375434893. The next prime is 3375434957. The reversal of 3375434916 is 6194345733.

It is a super-2 number, since 2×33754349162 = 22787121744303854112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 579981 + ... + 585771.

Almost surely, 23375434916 is an apocalyptic number.

3375434916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375434916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062810368).

3375434916 is an abundant number, since it is smaller than the sum of its proper divisors (6750185820).

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

3375434916 is a wasteful number, since it uses less digits than its factorization.

3375434916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6060 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3375434916 is about 58098.4932334738. The cubic root of 3375434916 is about 1500.0644292325.

The spelling of 3375434916 in words is "three billion, three hundred seventy-five million, four hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 257 324 378 514 567 756 771 1028 1134 1542 1799 2268 2313 3084 3598 4626 5397 5791 6939 7196 9252 10794 11582 13878 16191 17373 20817 21588 23164 27756 32382 34746 40537 41634 48573 52119 64764 69492 81074 83268 97146 104238 121611 145719 156357 162148 194292 208476 243222 291438 312714 364833 469071 486444 582876 625428 729666 938142 1094499 1459332 1488287 1876284 2188998 2976574 3283497 4377996 4464861 5953148 6566994 8929722 10418009 13133988 13394583 17859444 20836018 26789166 31254027 40183749 41672036 53578332 62508054 80367498 93762081 120551247 125016108 160734996 187524162 241102494 281286243 375048324 482204988 562572486 843858729 1125144972 1687717458 3375434916