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348429400 = 2352111091453
BaseRepresentation
bin10100110001001…
…001110001011000
3220021122001021121
4110301021301120
51203144220100
654324015024
711430413104
oct2461116130
9807561247
10348429400
11169752190
1298831474
1357256357
14343bc904
15208c851a
hex14c49c58

348429400 has 96 divisors (see below), whose sum is σ = 892465200. Its totient is φ = 125452800.

The previous prime is 348429383. The next prime is 348429401. The reversal of 348429400 is 4924843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348429401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239074 + ... + 240526.

Almost surely, 2348429400 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 348429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446232600).

348429400 is an abundant number, since it is smaller than the sum of its proper divisors (544035800).

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

348429400 is a wasteful number, since it uses less digits than its factorization.

348429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 348429400 is about 18666.2636861264. The cubic root of 348429400 is about 703.6741508125.

The spelling of 348429400 in words is "three hundred forty-eight million, four hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 200 218 220 275 436 440 545 550 872 1090 1100 1199 1453 2180 2200 2398 2725 2906 4360 4796 5450 5812 5995 7265 9592 10900 11624 11990 14530 15983 21800 23980 29060 29975 31966 36325 47960 58120 59950 63932 72650 79915 119900 127864 145300 158377 159830 239800 290600 316754 319660 399575 633508 639320 791885 799150 1267016 1583770 1598300 1742147 3167540 3196600 3484294 3959425 6335080 6968588 7918850 8710735 13937176 15837700 17421470 31675400 34842940 43553675 69685880 87107350 174214700 348429400