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3426625120 = 255831631583
BaseRepresentation
bin1100110000111110…
…0010011001100000
322211210210120222111
43030033202121200
524004204000440
61324004245104
7150625555462
oct31417423140
98753716874
103426625120
1114a9271196
127b76a0794
13427bb8939
1424713c132
15150c664ea
hexcc3e2660

3426625120 has 96 divisors (see below), whose sum is σ = 8248407552. Its totient is φ = 1344978432.

The previous prime is 3426625073. The next prime is 3426625121. The reversal of 3426625120 is 215266243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426625121) 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, 2163849 + ... + 2165431.

It is an arithmetic number, because the mean of its divisors is an integer number (85920912).

Almost surely, 23426625120 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 3426625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124203776).

3426625120 is an abundant number, since it is smaller than the sum of its proper divisors (4821782432).

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

3426625120 is a wasteful number, since it uses less digits than its factorization.

3426625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 3426625120 is about 58537.3822441694. The cubic root of 3426625120 is about 1507.6094976784.

The spelling of 3426625120 in words is "three billion, four hundred twenty-six million, six hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 163 166 326 332 415 652 664 815 830 1304 1328 1583 1630 1660 2608 2656 3166 3260 3320 5216 6332 6520 6640 7915 12664 13040 13280 13529 15830 25328 26080 27058 31660 50656 54116 63320 67645 108232 126640 131389 135290 216464 253280 258029 262778 270580 432928 516058 525556 541160 656945 1032116 1051112 1082320 1290145 1313890 2064232 2102224 2164640 2580290 2627780 4128464 4204448 5160580 5255560 8256928 10321160 10511120 20642320 21022240 21416407 41284640 42832814 85665628 107082035 171331256 214164070 342662512 428328140 685325024 856656280 1713312560 3426625120