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3313322334 = 2347191031493
BaseRepresentation
bin1100010101111101…
…0100100101011110
322112220121012210000
43011133110211132
523241202303314
61304435555130
7145051526610
oct30537244536
98486535700
103313322334
111450314123
1278575baa6
1340a59817a
14236086db0
15145d35209
hexc57d495e

3313322334 has 160 divisors (see below), whose sum is σ = 9024238080. Its totient is φ = 887537088.

The previous prime is 3313322291. The next prime is 3313322359. The reversal of 3313322334 is 4332233133.

It is a happy number.

3313322334 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 322 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3313322298 and 3313322307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2218492 + ... + 2219984.

It is an arithmetic number, because the mean of its divisors is an integer number (56401488).

Almost surely, 23313322334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313322334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512119040).

3313322334 is an abundant number, since it is smaller than the sum of its proper divisors (5710915746).

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

3313322334 is a wasteful number, since it uses less digits than its factorization.

3313322334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1627 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 3313322334 is about 57561.4657040628. The cubic root of 3313322334 is about 1490.8063341283.

Adding to 3313322334 its reverse (4332233133), we get a palindrome (7645555467).

The spelling of 3313322334 in words is "three billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 103 114 126 133 162 171 189 206 266 309 342 378 399 513 567 618 721 798 927 1026 1134 1197 1442 1493 1539 1854 1957 2163 2394 2781 2986 3078 3591 3914 4326 4479 5562 5871 6489 7182 8343 8958 10451 10773 11742 12978 13437 13699 16686 17613 19467 20902 21546 26874 27398 28367 31353 35226 38934 40311 41097 52839 56734 58401 62706 80622 82194 85101 94059 105678 116802 120933 123291 153779 158517 170202 188118 198569 241866 246582 255303 282177 307558 317034 369873 397138 461337 510606 564354 595707 739746 765909 846531 922674 1076453 1109619 1191414 1384011 1531818 1693062 1787121 2152906 2219238 2297727 2768022 2921801 3229359 3574242 4152033 4595454 5361363 5843602 6458718 8304066 8765403 9688077 10722726 12456099 16084089 17530806 19376154 20452607 24912198 26296209 29064231 32168178 40905214 52592418 58128462 61357821 78888627 87192693 122715642 157777254 174385386 184073463 236665881 368146926 473331762 552220389 1104440778 1656661167 3313322334