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348431104 = 2871271531
BaseRepresentation
bin10100110001001…
…010001100000000
3220021122010121201
4110301022030000
51203144243404
654324030544
711430421060
oct2461121400
9807563551
10348431104
1116975349a
1298832454
1357257068
14343bd3a0
15208c8ca4
hex14c4a300

348431104 has 72 divisors (see below), whose sum is σ = 801640448. Its totient is φ = 148055040.

The previous prime is 348431089. The next prime is 348431123. The reversal of 348431104 is 401134843.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 226819 + ... + 228349.

Almost surely, 2348431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400820224).

348431104 is an abundant number, since it is smaller than the sum of its proper divisors (453209344).

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

348431104 is a wasteful number, since it uses less digits than its factorization.

348431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 348431104 is about 18666.3093299131. The cubic root of 348431104 is about 703.6752979209.

Adding to 348431104 its reverse (401134843), we get a palindrome (749565947).

The spelling of 348431104 in words is "three hundred forty-eight million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 256 448 508 889 896 1016 1531 1778 1792 2032 3062 3556 4064 6124 7112 8128 10717 12248 14224 16256 21434 24496 28448 32512 42868 48992 56896 85736 97984 113792 171472 194437 195968 227584 342944 388874 391936 685888 777748 1361059 1371776 1555496 2722118 2743552 3110992 5444236 6221984 10888472 12443968 21776944 24887936 43553888 49775872 87107776 174215552 348431104