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348490100 = 225272917167
BaseRepresentation
bin10100110001011…
…000100101110100
3220021202010112202
4110301120211310
51203203140400
654325204032
711431055060
oct2461304564
9807663482
10348490100
11169793852
1298860618
1357277b7a
14343d6aa0
15208db4d5
hex14c58974

348490100 has 72 divisors (see below), whose sum is σ = 894109440. Its totient is φ = 115355520.

The previous prime is 348490073. The next prime is 348490141. The reversal of 348490100 is 1094843.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11717 + ... + 28883.

Almost surely, 2348490100 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 348490100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447054720).

348490100 is an abundant number, since it is smaller than the sum of its proper divisors (545619340).

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

348490100 is a wasteful number, since it uses less digits than its factorization.

348490100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217 (or 17210 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 348490100 is about 18667.8895432772. The cubic root of 348490100 is about 703.7150108747.

The spelling of 348490100 in words is "three hundred forty-eight million, four hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 17167 20300 34334 68668 85835 120169 171670 240338 343340 429175 480676 497843 600845 858350 995686 1201690 1716700 1991372 2403380 2489215 3004225 3484901 4978430 6008450 6969802 9956860 12016900 12446075 13939604 17424505 24892150 34849010 49784300 69698020 87122525 174245050 348490100