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349293784 = 23723112699
BaseRepresentation
bin10100110100011…
…100110011011000
3220100020221222211
4110310130303120
51203404400114
654354324504
711440643140
oct2464346330
9810227884
10349293784
1116a192654
1298b89734
1357499918
1434565920
15209e96c4
hex14d1ccd8

349293784 has 32 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 149577120.

The previous prime is 349293767. The next prime is 349293787. The reversal of 349293784 is 487392943.

It is a happy number.

It is a super-3 number, since 3×3492937843 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349293787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128067 + ... + 130765.

It is an arithmetic number, because the mean of its divisors is an integer number (23409000).

Almost surely, 2349293784 is an apocalyptic number.

It is an amenable number.

349293784 is an abundant number, since it is smaller than the sum of its proper divisors (399794216).

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

349293784 is a wasteful number, since it uses less digits than its factorization.

349293784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5019 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 349293784 is about 18689.4029867195. The cubic root of 349293784 is about 704.2555621317.

The spelling of 349293784 in words is "three hundred forty-nine million, two hundred ninety-three thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 2311 2699 4622 5398 9244 10796 16177 18488 18893 21592 32354 37786 64708 75572 129416 151144 6237389 12474778 24949556 43661723 49899112 87323446 174646892 349293784