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2104341408 = 2532133791483
BaseRepresentation
bin111110101101101…
…1011001110100000
312102122200121201200
41331123123032200
513302202411113
6544451201200
7103101415101
oct17533331640
95378617650
102104341408
1198a933934
124a88a6200
13276c7ac40
1415d69a3a8
15c4b23873
hex7d6db3a0

2104341408 has 144 divisors (see below), whose sum is σ = 6465906720. Its totient is φ = 645345792.

The previous prime is 2104341391. The next prime is 2104341419. The reversal of 2104341408 is 8041434012.

2104341408 is a `hidden beast` number, since 210 + 4 + 3 + 41 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21043414082 = 8856505522846844928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418235 + ... + 1419717.

It is an arithmetic number, because the mean of its divisors is an integer number (44902130).

Almost surely, 22104341408 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 2104341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232953360).

2104341408 is an abundant number, since it is smaller than the sum of its proper divisors (4361565312).

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

2104341408 is a wasteful number, since it uses less digits than its factorization.

2104341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2104341408 is about 45873.1011378128. The cubic root of 2104341408 is about 1281.4610205262.

The spelling of 2104341408 in words is "two billion, one hundred four million, three hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 379 416 468 624 758 936 1137 1248 1483 1516 1872 2274 2966 3032 3411 3744 4449 4548 4927 5932 6064 6822 8898 9096 9854 11864 12128 13347 13644 14781 17796 18192 19279 19708 23728 26694 27288 29562 35592 36384 38558 39416 44343 47456 53388 54576 57837 59124 71184 77116 78832 88686 106776 109152 115674 118248 142368 154232 157664 173511 177372 213552 231348 236496 308464 347022 354744 427104 462696 472992 562057 616928 694044 709488 925392 1124114 1388088 1418976 1686171 1850784 2248228 2776176 3372342 4496456 5058513 5552352 6744684 7306741 8992912 10117026 13489368 14613482 17985824 20234052 21920223 26978736 29226964 40468104 43840446 53957472 58453928 65760669 80936208 87680892 116907856 131521338 161872416 175361784 233815712 263042676 350723568 526085352 701447136 1052170704 2104341408