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2338949088 = 25337386731
BaseRepresentation
bin1000101101101001…
…1000011111100000
320001000010220222000
42023122120133200
514242232332323
61024031444000
7111650511360
oct21332303740
96030126860
102338949088
11aa0304083
12553386600
132b3761558
141828ca9a0
15da516e43
hex8b6987e0

2338949088 has 96 divisors (see below), whose sum is σ = 7796517120. Its totient is φ = 668269440.

The previous prime is 2338949057. The next prime is 2338949149. The reversal of 2338949088 is 8809498332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187318 + ... + 199413.

It is an arithmetic number, because the mean of its divisors is an integer number (81213720).

Almost surely, 22338949088 is an apocalyptic number.

2338949088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2338949088 is an abundant number, since it is smaller than the sum of its proper divisors (5457568032).

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

2338949088 is a wasteful number, since it uses less digits than its factorization.

2338949088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386757 (or 386743 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2338949088 is about 48362.6828039967. The cubic root of 2338949088 is about 1327.4156172224.

The spelling of 2338949088 in words is "two billion, three hundred thirty-eight million, nine hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 386731 773462 1160193 1546924 2320386 2707117 3093848 3480579 4640772 5414234 6187696 6961158 8121351 9281544 10441737 10828468 12375392 13922316 16242702 18563088 20883474 21656936 24364053 27844632 32485404 37126176 41766948 43313872 48728106 55689264 64970808 73092159 83533896 86627744 97456212 111378528 129941616 146184318 167067792 194912424 259883232 292368636 334135584 389824848 584737272 779649696 1169474544 2338949088