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3428386896 = 2431122772131
BaseRepresentation
bin1100110001011001…
…0000100001010000
322211221010002200110
43030112100201100
524010131340041
61324110121320
7150646544034
oct31426204120
98757102613
103428386896
1114aa264900
127b81b0240
134283847cc
1424747a1c4
15150eb3516
hexcc590850

3428386896 has 120 divisors (see below), whose sum is σ = 9774742432. Its totient is φ = 1034668800.

The previous prime is 3428386883. The next prime is 3428386903. The reversal of 3428386896 is 6986838243.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1607751 + ... + 1609881.

Almost surely, 23428386896 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 3428386896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887371216).

3428386896 is an abundant number, since it is smaller than the sum of its proper divisors (6346355536).

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

3428386896 is a wasteful number, since it uses less digits than its factorization.

3428386896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2424 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 3428386896 is about 58552.4286088972. The cubic root of 3428386896 is about 1507.8678291335.

The spelling of 3428386896 in words is "three billion, four hundred twenty-eight million, three hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 277 363 484 528 554 726 831 968 1108 1452 1662 1936 2131 2216 2904 3047 3324 4262 4432 5808 6094 6393 6648 8524 9141 12188 12786 13296 17048 18282 23441 24376 25572 33517 34096 36564 46882 48752 51144 67034 70323 73128 93764 100551 102288 134068 140646 146256 187528 201102 257851 268136 281292 375056 402204 515702 536272 562584 590287 773553 804408 1031404 1125168 1180574 1547106 1608816 1770861 2062808 2361148 3094212 3541722 4125616 4722296 6188424 6493157 7083444 9444592 12376848 12986314 14166888 19479471 25972628 28333776 38958942 51945256 71424727 77917884 103890512 142849454 155835768 214274181 285698908 311671536 428548362 571397816 857096724 1142795632 1714193448 3428386896