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345423573760 = 2855310614799
BaseRepresentation
bin1010000011011001101…
…10010111001100000000
31020000121011101122202211
411001230312113030000
521124411413330020
6422404013551504
733645626634466
oct5015466271400
91200534348684
10345423573760
11123547669601
1256b417a5594
132675b7162c5
1412a0bb50836
158eba3ba85a
hex506cd97300

345423573760 has 144 divisors (see below), whose sum is σ = 843979046400. Its totient is φ = 135406469120.

The previous prime is 345423573743. The next prime is 345423573791. The reversal of 345423573760 is 67375324543.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71975841 + ... + 71980639.

It is an arithmetic number, because the mean of its divisors is an integer number (5860965600).

Almost surely, 2345423573760 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 345423573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421989523200).

345423573760 is an abundant number, since it is smaller than the sum of its proper divisors (498555472640).

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

345423573760 is a wasteful number, since it uses less digits than its factorization.

345423573760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 49.

The spelling of 345423573760 in words is "three hundred forty-five billion, four hundred twenty-three million, five hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1061 1280 1696 2120 2122 3392 4240 4244 4799 5305 6784 8480 8488 9598 10610 13568 16960 16976 19196 21220 23995 33920 33952 38392 42440 47990 56233 67840 67904 76784 84880 95980 112466 135808 153568 169760 191960 224932 254347 271616 281165 307136 339520 383920 449864 508694 562330 614272 679040 767840 899728 1017388 1124660 1228544 1271735 1358080 1535680 1799456 2034776 2249320 2543470 3071360 3598912 4069552 4498640 5086940 5091739 6142720 7197824 8139104 8997280 10173880 10183478 14395648 16278208 17994560 20347760 20366956 25458695 32556416 35989120 40695520 40733912 50917390 65112832 71978240 81391040 81467824 101834780 162782080 162935648 203669560 269862167 325564160 325871296 407339120 539724334 651742592 814678240 1079448668 1303485184 1349310835 1629356480 2158897336 2698621670 3258712960 4317794672 5397243340 6517425920 8635589344 10794486680 17271178688 21588973360 34542357376 43177946720 69084714752 86355893440 172711786880 345423573760