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2149384328 = 2371341107673
BaseRepresentation
bin1000000000011101…
…0000000010001000
312112210110000222222
42000013100002020
513400220244303
6553140433212
7104156315420
oct20007200210
95483400888
102149384328
11a032a9293
124bb9a8808
132833bbc60
14165663480
15c8a6e938
hex801d0088

2149384328 has 128 divisors (see below), whose sum is σ = 5136203520. Its totient is φ = 820592640.

The previous prime is 2149384319. The next prime is 2149384361. The reversal of 2149384328 is 8234839412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3193400 + ... + 3194072.

It is an arithmetic number, because the mean of its divisors is an integer number (40126590).

Almost surely, 22149384328 is an apocalyptic number.

2149384328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149384328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568101760).

2149384328 is an abundant number, since it is smaller than the sum of its proper divisors (2986819192).

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

2149384328 is a wasteful number, since it uses less digits than its factorization.

2149384328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 2149384328 is about 46361.4530402143. The cubic root of 2149384328 is about 1290.5396712386.

The spelling of 2149384328 in words is "two billion, one hundred forty-nine million, three hundred eighty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 107 164 182 214 287 328 364 428 533 574 673 728 749 856 1066 1148 1346 1391 1498 2132 2296 2692 2782 2996 3731 4264 4387 4711 5384 5564 5992 7462 8749 8774 9422 9737 11128 14924 17498 17548 18844 19474 27593 29848 30709 34996 35096 37688 38948 55186 57031 61243 61418 69992 72011 77896 110372 114062 122486 122836 144022 193151 220744 228124 244972 245672 288044 358709 386302 399217 456248 489944 504077 576088 717418 772604 798434 936143 1008154 1434836 1545208 1596868 1872286 2016308 2510963 2869672 2952451 3193736 3744572 4032616 5021926 5904902 6553001 7489144 10043852 11809804 13106002 20087704 20667157 23619608 26212004 38381863 41334314 52424008 76763726 82668628 153527452 165337256 268673041 307054904 537346082 1074692164 2149384328