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348413040 = 24325483907
BaseRepresentation
bin10100110001000…
…101110001110000
3220021121012211200
4110301011301300
51203143204130
654323411200
711430314313
oct2461056160
9807535750
10348413040
11169740968
1298823b00
135724ba81
14343b697a
15208c3760
hex14c45c70

348413040 has 60 divisors (see below), whose sum is σ = 1170089544. Its totient is φ = 92909952.

The previous prime is 348413027. The next prime is 348413059. The reversal of 348413040 is 40314843.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 348412995 and 348413013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241234 + ... + 242673.

Almost surely, 2348413040 is an apocalyptic number.

348413040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348413040 is an abundant number, since it is smaller than the sum of its proper divisors (821676504).

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

348413040 is a wasteful number, since it uses less digits than its factorization.

348413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483926 (or 483917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 348413040 is about 18665.8254572360. The cubic root of 348413040 is about 703.6631373052.

Adding to 348413040 its reverse (40314843), we get a palindrome (388727883).

The spelling of 348413040 in words is "three hundred forty-eight million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 483907 967814 1451721 1935628 2419535 2903442 3871256 4355163 4839070 5806884 7258605 7742512 8710326 9678140 11613768 14517210 17420652 19356280 21775815 23227536 29034420 34841304 38712560 43551630 58068840 69682608 87103260 116137680 174206520 348413040