Search a number
-
+
341213054220 = 2232517943124571
BaseRepresentation
bin1001111011100011110…
…00100000010100001100
31012121201201120002210200
410331301320200110030
521042301020213340
6420430123533500
733436402051353
oct4756170402414
91177651502720
10341213054220
11121786967995
125616768a290
132623a2c641c
141272c87a99a
158d2090e330
hex4f71e2050c

341213054220 has 144 divisors (see below), whose sum is σ = 1043252421120. Its totient is φ = 90268214400.

The previous prime is 341213054191. The next prime is 341213054279. The reversal of 341213054220 is 22450312143.

341213054220 is a `hidden beast` number, since 341 + 21 + 30 + 54 + 220 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13874535 + ... + 13899105.

It is an arithmetic number, because the mean of its divisors is an integer number (7244808480).

Almost surely, 2341213054220 is an apocalyptic number.

341213054220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341213054220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521626210560).

341213054220 is an abundant number, since it is smaller than the sum of its proper divisors (702039366900).

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

341213054220 is a wasteful number, since it uses less digits than its factorization.

341213054220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25196 (or 25191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 341213054220 its reverse (22450312143), we get a palindrome (363663366363).

The spelling of 341213054220 in words is "three hundred forty-one billion, two hundred thirteen million, fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 431 537 716 862 895 1074 1293 1611 1724 1790 2148 2155 2586 2685 3222 3580 3879 4310 5172 5370 6444 6465 7758 8055 8620 10740 12930 15516 16110 19395 24571 25860 32220 38790 49142 73713 77149 77580 98284 122855 147426 154298 221139 231447 245710 294852 308596 368565 385745 442278 462894 491420 694341 737130 771490 884556 925788 1105695 1157235 1388682 1474260 1542980 2211390 2314470 2777364 3471705 4398209 4422780 4628940 6943410 8796418 10590101 13194627 13886820 17592836 21180202 21991045 26389254 31770303 39583881 42360404 43982090 52778508 52950505 63540606 65973135 79167762 87964180 95310909 105901010 127081212 131946270 158335524 158851515 190621818 197919405 211802020 263892540 317703030 381243636 395838810 476554545 635406060 791677620 953109090 1895628079 1906218180 3791256158 5686884237 7582512316 9478140395 11373768474 17060652711 18956280790 22747536948 28434421185 34121305422 37912561580 56868842370 68242610844 85303263555 113737684740 170606527110 341213054220