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3384083892 = 2237298571621
BaseRepresentation
bin1100100110110101…
…0000010110110100
322201211202021101110
43021231100112310
523412311141032
61315444355020
7146601144540
oct31155202664
98654667343
103384083892
111487255352
127a53a5a70
1341c142507
14241626a20
1514c1617cc
hexc9b505b4

3384083892 has 96 divisors (see below), whose sum is σ = 9352062720. Its totient is φ = 931875840.

The previous prime is 3384083887. The next prime is 3384083893. The reversal of 3384083892 is 2983804833.

It is a happy number.

It is a super-2 number, since 2×33840838922 = 22904047576187735328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384083893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086842 + ... + 2088462.

It is an arithmetic number, because the mean of its divisors is an integer number (97417320).

Almost surely, 23384083892 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 3384083892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676031360).

3384083892 is an abundant number, since it is smaller than the sum of its proper divisors (5967978828).

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

3384083892 is a wasteful number, since it uses less digits than its factorization.

3384083892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 3384083892 is about 58172.8793511203. The cubic root of 3384083892 is about 1501.3445561968.

The spelling of 3384083892 in words is "three billion, three hundred eighty-four million, eighty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 857 1218 1621 1714 2436 2571 3242 3428 4863 5142 5999 6484 9726 10284 11347 11998 17997 19452 22694 23996 24853 34041 35994 45388 47009 49706 68082 71988 74559 94018 99412 136164 141027 149118 173971 188036 282054 298236 329063 347942 521913 564108 658126 695884 987189 1043826 1316252 1389197 1974378 2087652 2778394 3948756 4167591 5556788 8335182 9724379 16670364 19448758 29173137 38897516 40286713 58346274 80573426 116692548 120860139 161146852 241720278 282006991 483440556 564013982 846020973 1128027964 1692041946 3384083892