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340110420100 = 2252111741443603
BaseRepresentation
bin1001111001100000010…
…10010010100010000100
31012111212212202111010221
410330300022102202010
521033021231420400
6420124454354124
733400152604543
oct4746012224204
91174785674127
10340110420100
11121270513620
1255aba35b944
13260c2a327b9
141266625415a
158ca8c07c1a
hex4f30292884

340110420100 has 144 divisors (see below), whose sum is σ = 873289480896. Its totient is φ = 113562112000.

The previous prime is 340110420031. The next prime is 340110420137. The reversal of 340110420100 is 1024011043.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544899 + ... + 988501.

It is an arithmetic number, because the mean of its divisors is an integer number (6064510284).

Almost surely, 2340110420100 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 340110420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436644740448).

340110420100 is an abundant number, since it is smaller than the sum of its proper divisors (533179060796).

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

340110420100 is a wasteful number, since it uses less digits than its factorization.

340110420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443686 (or 443679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 340110420100 its reverse (1024011043), we get a palindrome (341134431143).

The spelling of 340110420100 in words is "three hundred forty billion, one hundred ten million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 41 44 50 55 68 82 85 100 110 164 170 187 205 220 275 340 374 410 425 451 550 697 748 820 850 902 935 1025 1100 1394 1700 1804 1870 2050 2255 2788 3485 3740 4100 4510 4675 6970 7667 9020 9350 11275 13940 15334 17425 18700 22550 30668 34850 38335 45100 69700 76670 153340 191675 383350 443603 766700 887206 1774412 2218015 4436030 4879633 7541251 8872060 9759266 11090075 15082502 18187723 19518532 22180150 24398165 30165004 36375446 37706255 44360300 48796330 72750892 75412510 82953761 90938615 97592660 121990825 150825020 165907522 181877230 188531275 200064953 243981650 309191291 331815044 363754460 377062550 400129906 414768805 454693075 487963300 618382582 754125100 800259812 829537610 909386150 1000324765 1236765164 1545956455 1659075220 1818772300 2000649530 2073844025 3091912910 3401104201 4001299060 4147688050 5001623825 6183825820 6802208402 7729782275 8295376100 10003247650 13604416804 15459564550 17005521005 20006495300 30919129100 34011042010 68022084020 85027605025 170055210050 340110420100