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3406504452 = 22313191378389
BaseRepresentation
bin1100101100001011…
…0010001000000100
322210101221100121120
43023002302020010
523434031120302
61322005113540
7150262544601
oct31302621004
98711840546
103406504452
11149897923a
127b09b88b0
13423992610
142445c16a8
1514e0de9bc
hexcb0b2204

3406504452 has 96 divisors (see below), whose sum is σ = 9077308800. Its totient is φ = 985623552.

The previous prime is 3406504427. The next prime is 3406504469. The reversal of 3406504452 is 2544056043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401874 + ... + 410262.

It is an arithmetic number, because the mean of its divisors is an integer number (94555300).

Almost surely, 23406504452 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 3406504452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538654400).

3406504452 is an abundant number, since it is smaller than the sum of its proper divisors (5670804348).

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

3406504452 is a wasteful number, since it uses less digits than its factorization.

3406504452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3406504452 is about 58365.2675141646. The cubic root of 3406504452 is about 1504.6528784471.

The spelling of 3406504452 in words is "three billion, four hundred six million, five hundred four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 137 156 228 247 274 411 494 548 741 822 988 1482 1644 1781 2603 2964 3562 5206 5343 7124 7809 8389 10412 10686 15618 16778 21372 25167 31236 33556 33839 50334 67678 100668 101517 109057 135356 159391 203034 218114 318782 327171 406068 436228 478173 637564 654342 956346 1149293 1308684 1912692 2072083 2298586 3447879 4144166 4597172 6216249 6895758 8288332 12432498 13791516 14940809 21836567 24864996 29881618 43673134 44822427 59763236 65509701 87346268 89644854 131019402 179289708 262038804 283875371 567750742 851626113 1135501484 1703252226 3406504452