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334806240 = 2535697513
BaseRepresentation
bin10011111101001…
…011110011100000
3212022222220211010
4103331023303200
51141202244430
653120020520
711203543326
oct2375136340
9768886733
10334806240
11161a9797a
1294161740
1354496602
1432673d16
151e5d6cb0
hex13f4bce0

334806240 has 48 divisors (see below), whose sum is σ = 1054641168. Its totient is φ = 89281536.

The previous prime is 334806223. The next prime is 334806271. The reversal of 334806240 is 42608433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3348062402 = 224190436685875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 334806198 and 334806207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348277 + ... + 349236.

It is an arithmetic number, because the mean of its divisors is an integer number (21971691).

Almost surely, 2334806240 is an apocalyptic number.

334806240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334806240 is an abundant number, since it is smaller than the sum of its proper divisors (719834928).

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

334806240 is a wasteful number, since it uses less digits than its factorization.

334806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697531 (or 697523 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 334806240 is about 18297.7113322951. The cubic root of 334806240 is about 694.3810302604.

The spelling of 334806240 in words is "three hundred thirty-four million, eight hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 697513 1395026 2092539 2790052 3487565 4185078 5580104 6975130 8370156 10462695 11160208 13950260 16740312 20925390 22320416 27900520 33480624 41850780 55801040 66961248 83701560 111602080 167403120 334806240