Search a number
-
+
3400670260242 = 2321814492324701
BaseRepresentation
bin110001011111000111101…
…111100010110000010010
3110001002201120001101122100
4301133013233202300102
5421204033041311432
611122125113421230
7500455531163433
oct61370757426022
913032646041570
103400670260242
1110a1241785562
1246b0a570a816
131b88b2c96c28
14ba8440d148a
155d6d4dd807c
hex317c7be2c12

3400670260242 has 48 divisors (see below), whose sum is σ = 7425330658200. Its totient is φ = 1124782848000.

The previous prime is 3400670260231. The next prime is 3400670260271. The reversal of 3400670260242 is 2420620760043.

3400670260242 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 6 + 7 + 0 + 2 + 602 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1260210553281 + 2140459706961 = 1122591^2 + 1463031^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3400670260197 and 3400670260206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300492 + ... + 2625192.

Almost surely, 23400670260242 is an apocalyptic number.

3400670260242 is an abundant number, since it is smaller than the sum of its proper divisors (4024660397958).

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

3400670260242 is a wasteful number, since it uses less digits than its factorization.

3400670260242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325339 (or 2325336 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3400670260242 in words is "three trillion, four hundred billion, six hundred seventy million, two hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 181 362 449 543 898 1086 1347 1629 2694 3258 4041 8082 81269 162538 243807 487614 731421 1462842 2324701 4649402 6974103 13948206 20922309 41844618 420770881 841541762 1043790749 1262312643 2087581498 2524625286 3131372247 3786937929 6262744494 7573875858 9394116741 18788233482 188926125569 377852251138 566778376707 1133556753414 1700335130121 3400670260242