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3355135344 = 243411235349
BaseRepresentation
bin1100011111111011…
…0100110101110000
322122211021112110000
43013332310311300
523332403312334
61312532110000
7146100115461
oct30776646560
98584245400
103355135344
111471982930
12797765300
13416147cb2
1423b84cd68
15149844299
hexc7fb4d70

3355135344 has 100 divisors (see below), whose sum is σ = 10593574200. Its totient is φ = 1016703360.

The previous prime is 3355135187. The next prime is 3355135391. The reversal of 3355135344 is 4435315533.

3355135344 is a `hidden beast` number, since 33 + 551 + 35 + 3 + 44 = 666.

It is a super-2 number, since 2×33551353442 = 22513866353115996672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3355135299 and 3355135308.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 103419 + ... + 131930.

It is an arithmetic number, because the mean of its divisors is an integer number (105935742).

Almost surely, 23355135344 is an apocalyptic number.

It is an amenable number.

3355135344 is an abundant number, since it is smaller than the sum of its proper divisors (7238438856).

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

3355135344 is a wasteful number, since it uses less digits than its factorization.

3355135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235380 (or 235365 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 3355135344 is about 57923.5301410403. The cubic root of 3355135344 is about 1497.0512952251.

The spelling of 3355135344 in words is "three billion, three hundred fifty-five million, one hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 235349 470698 706047 941396 1412094 1882792 2118141 2588839 2824188 3765584 4236282 5177678 5648376 6354423 7766517 8472564 10355356 11296752 12708846 15533034 16945128 19063269 20710712 23299551 25417692 31066068 33890256 38126538 41421424 46599102 50835384 62132136 69898653 76253076 93198204 101670768 124264272 139797306 152506152 186396408 209695959 279594612 305012304 372792816 419391918 559189224 838783836 1118378448 1677567672 3355135344