Search a number
-
+
3340204105104 = 24339479815693
BaseRepresentation
bin110000100110110011101…
…011011101110110010000
3102211022122120022110021000
4300212303223131312100
5414211214222330404
611034245114102000
7463215241303026
oct60466353356620
912738576273230
103340204105104
111078633158219
1245b42b71a900
131b2c97aa49c9
14b7949776716
155bd467a5339
hex309b3addd90

3340204105104 has 80 divisors (see below), whose sum is σ = 9588646108800. Its totient is φ = 1113282543744.

The previous prime is 3340204105057. The next prime is 3340204105109. The reversal of 3340204105104 is 4015014020433.

It is a happy number.

3340204105104 is a `hidden beast` number, since 3 + 340 + 204 + 10 + 5 + 104 = 666.

It is a super-2 number, since 2×33402041051042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3340204105109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3687082 + ... + 4502774.

It is an arithmetic number, because the mean of its divisors is an integer number (119858076360).

Almost surely, 23340204105104 is an apocalyptic number.

It is an amenable number.

3340204105104 is an abundant number, since it is smaller than the sum of its proper divisors (6248442003696).

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

3340204105104 is a wasteful number, since it uses less digits than its factorization.

3340204105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825189 (or 825177 counting only the distinct ones).

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

Adding to 3340204105104 its reverse (4015014020433), we get a palindrome (7355218125537).

The spelling of 3340204105104 in words is "three trillion, three hundred forty billion, two hundred four million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9479 18958 28437 37916 56874 75832 85311 113748 151664 170622 227496 255933 341244 454992 511866 682488 815693 1023732 1364976 1631386 2047464 2447079 3262772 4094928 4894158 6525544 7341237 9788316 13051088 14682474 19576632 22023711 29364948 39153264 44047422 58729896 88094844 117459792 176189688 352379376 7731953947 15463907894 23195861841 30927815788 46391723682 61855631576 69587585523 92783447364 123711263152 139175171046 185566894728 208762756569 278350342092 371133789456 417525513138 556700684184 835051026276 1113401368368 1670102052552 3340204105104