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3420725048 = 2313234730427
BaseRepresentation
bin1100101111100100…
…0001111100111000
322211101200211121022
43023321001330320
524001201200143
61323234002012
7150524453216
oct31371017470
98741624538
103420725048
1114a5a013a4
127b5716308
13426901280
14246443cb6
1515049d268
hexcbe41f38

3420725048 has 64 divisors (see below), whose sum is σ = 7361141760. Its totient is φ = 1477973376.

The previous prime is 3420725047. The next prime is 3420725081. The reversal of 3420725048 is 8405270243.

It is a junction number, because it is equal to n+sod(n) for n = 3420724999 and 3420725017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420725041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97211 + ... + 127637.

It is an arithmetic number, because the mean of its divisors is an integer number (115017840).

Almost surely, 23420725048 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 3420725048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680570880).

3420725048 is an abundant number, since it is smaller than the sum of its proper divisors (3940416712).

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

3420725048 is a wasteful number, since it uses less digits than its factorization.

3420725048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30516 (or 30512 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 3420725048 is about 58486.9647699383. The cubic root of 3420725048 is about 1506.7437172681.

The spelling of 3420725048 in words is "three billion, four hundred twenty million, seven hundred twenty-five thousand, forty-eight".

Divisors: 1 2 4 8 13 23 26 46 47 52 92 94 104 184 188 299 376 598 611 1081 1196 1222 2162 2392 2444 4324 4888 8648 14053 28106 30427 56212 60854 112424 121708 243416 395551 699821 791102 1399642 1430069 1582204 2799284 2860138 3164408 5598568 5720276 9097673 11440552 18195346 18590897 32891587 36390692 37181794 65783174 72781384 74363588 131566348 148727176 263132696 427590631 855181262 1710362524 3420725048