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2928022344 = 233413226737
BaseRepresentation
bin1010111010000110…
…0001001101001000
321120001120221120000
42232201201031020
521444033203334
61202313403000
7132362531202
oct25641411510
97501527500
102928022344
111272879585
12698709460
13378802800
141dac2b772
151220c7299
hexae861348

2928022344 has 120 divisors (see below), whose sum is σ = 8880893010. Its totient is φ = 900896256.

The previous prime is 2928022333. The next prime is 2928022367. The reversal of 2928022344 is 4432208292.

2928022344 is a `hidden beast` number, since 292 + 8 + 0 + 22 + 344 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1727399844 + 1200622500 = 41562^2 + 34650^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2928022299 and 2928022308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 96144 + ... + 122880.

Almost surely, 22928022344 is an apocalyptic number.

2928022344 is a gapful number since it is divisible by the number (24) 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 2928022344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440446505).

2928022344 is an abundant number, since it is smaller than the sum of its proper divisors (5952870666).

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

2928022344 is a wasteful number, since it uses less digits than its factorization.

2928022344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26781 (or 26755 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2928022344 is about 54111.2034979818. The cubic root of 2928022344 is about 1430.6216580846.

The spelling of 2928022344 in words is "two billion, nine hundred twenty-eight million, twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 936 1014 1053 1352 1404 1521 2028 2106 2808 3042 4056 4212 4563 6084 8424 9126 12168 13689 18252 26737 27378 36504 53474 54756 80211 106948 109512 160422 213896 240633 320844 347581 481266 641688 695162 721899 962532 1042743 1390324 1443798 1925064 2085486 2165697 2780648 2887596 3128229 4170972 4331394 4518553 5775192 6256458 8341944 8662788 9037106 9384687 12512916 13555659 17325576 18074212 18769374 25025832 27111318 28154061 36148424 37538748 40666977 54222636 56308122 75077496 81333954 108445272 112616244 122000931 162667908 225232488 244001862 325335816 366002793 488003724 732005586 976007448 1464011172 2928022344