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234354564450 = 232524334934703
BaseRepresentation
bin1101101001000010011…
…1101101110101100010
3211101220120110101022100
43122100213231311202
512314424232030300
6255354435351230
722634344634016
oct3322047556542
9741816411270
10234354564450
1190431050a26
1239504a52516
131913a8c9616
14b4b29b8546
15616950e700
hex36909edd62

234354564450 has 144 divisors (see below), whose sum is σ = 646139894400. Its totient is φ = 60864531840.

The previous prime is 234354564413. The next prime is 234354564473. The reversal of 234354564450 is 54465453432.

234354564450 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 545 + 64 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 234354564396 and 234354564405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6735799 + ... + 6770501.

It is an arithmetic number, because the mean of its divisors is an integer number (4487082600).

Almost surely, 2234354564450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234354564450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323069947200).

234354564450 is an abundant number, since it is smaller than the sum of its proper divisors (411785329950).

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

234354564450 is a wasteful number, since it uses less digits than its factorization.

234354564450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35113 (or 35105 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 234354564450 in words is "two hundred thirty-four billion, three hundred fifty-four million, five hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 349 387 430 450 645 698 774 1047 1075 1290 1745 1935 2094 2150 3141 3225 3490 3870 5235 6282 6450 8725 9675 10470 15007 15705 17450 19350 26175 30014 31410 34703 45021 52350 69406 75035 78525 90042 104109 135063 150070 157050 173515 208218 225105 270126 312327 347030 375175 450210 520545 624654 675315 750350 867575 1041090 1125525 1350630 1492229 1561635 1735150 2251050 2602725 2984458 3123270 3376575 4476687 5205450 6753150 7461145 7808175 8953374 12111347 13430061 14922290 15616350 22383435 24222694 26860122 36334041 37305725 44766870 60556735 67150305 72668082 74611450 109002123 111917175 121113470 134300610 181670205 218004246 223834350 302783675 335751525 363340410 520787921 545010615 605567350 671503050 908351025 1041575842 1090021230 1562363763 1816702050 2603939605 2725053075 3124727526 4687091289 5207879210 5450106150 7811818815 9374182578 13019698025 15623637630 23435456445 26039396050 39059094075 46870912890 78118188150 117177282225 234354564450