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346665690 = 23357226203
BaseRepresentation
bin10100101010011…
…011001011011010
3220011022102221000
4110222123023122
51202221300230
654222125430
711406416100
oct2452331332
9804272830
10346665690
11168758078
1298120876
1356a89637
143407dc70
152067ab60
hex14a9b2da

346665690 has 96 divisors (see below), whose sum is σ = 1075412160. Its totient is φ = 79234848.

The previous prime is 346665689. The next prime is 346665707. The reversal of 346665690 is 96566643.

It is a super-2 number, since 2×3466656902 = 240354201246352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129 + ... + 26331.

It is an arithmetic number, because the mean of its divisors is an integer number (11202210).

Almost surely, 2346665690 is an apocalyptic number.

346665690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346665690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537706080).

346665690 is an abundant number, since it is smaller than the sum of its proper divisors (728746470).

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

346665690 is a wasteful number, since it uses less digits than its factorization.

346665690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26233 (or 26220 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 346665690 is about 18618.9604972995. The cubic root of 346665690 is about 702.4848356465.

The spelling of 346665690 in words is "three hundred forty-six million, six hundred sixty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 26203 52406 78609 131015 157218 183421 235827 262030 366842 393045 471654 550263 707481 786090 917105 1100526 1179135 1283947 1414962 1650789 1834210 2358270 2567894 2751315 3301578 3537405 3851841 4952367 5502630 6419735 7074810 7703682 8253945 9904734 11555523 12839470 16507890 19259205 23111046 24761835 34666569 38518410 49523670 57777615 69333138 115555230 173332845 346665690