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3313000494 = 2331733710709
BaseRepresentation
bin1100010101111000…
…0110000000101110
322112212222212022000
43011132012000232
523241112003434
61304425033130
7145046016366
oct30536060056
98485885260
103313000494
111450114341
127856257a6
1340a4b482b
142360019a6
15145cbeb99
hexc578602e

3313000494 has 64 divisors (see below), whose sum is σ = 7819156800. Its totient is φ = 1036191744.

The previous prime is 3313000469. The next prime is 3313000499. The reversal of 3313000494 is 4940003133.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313000499) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304012 + ... + 314720.

It is an arithmetic number, because the mean of its divisors is an integer number (122174325).

Almost surely, 23313000494 is an apocalyptic number.

3313000494 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313000494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909578400).

3313000494 is an abundant number, since it is smaller than the sum of its proper divisors (4506156306).

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

3313000494 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3313000493) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (11068).

3313000494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3313000494 is about 57558.6700159064. The cubic root of 3313000494 is about 1490.7580626756.

The spelling of 3313000494 in words is "three billion, three hundred thirteen million, four hundred ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 337 459 674 918 1011 2022 3033 5729 6066 9099 10709 11458 17187 18198 21418 32127 34374 51561 64254 96381 103122 154683 182053 192762 289143 309366 364106 546159 578286 1092318 1638477 3276954 3608933 4915431 7217866 9830862 10826799 21653598 32480397 61351861 64960794 97441191 122703722 184055583 194882382 368111166 552166749 1104333498 1656500247 3313000494