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1322426640 = 243519927689
BaseRepresentation
bin100111011010010…
…1010000100010000
310102011101020022110
41032310222010100
510202020123030
6335120105320
744525304153
oct11664520420
93364336273
101322426640
11619525787
1230aa65240
13180c8aa92
14c78bbc9a
157b1701b0
hex4ed2a110

1322426640 has 80 divisors (see below), whose sum is σ = 4120272000. Its totient is φ = 350862336.

The previous prime is 1322426627. The next prime is 1322426671. The reversal of 1322426640 is 466242231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1322426598 and 1322426607.

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, 33916 + ... + 61604.

It is an arithmetic number, because the mean of its divisors is an integer number (51503400).

Almost surely, 21322426640 is an apocalyptic number.

1322426640 is a gapful number since it is divisible by the number (10) 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 1322426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060136000).

1322426640 is an abundant number, since it is smaller than the sum of its proper divisors (2797845360).

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

1322426640 is a wasteful number, since it uses less digits than its factorization.

1322426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27904 (or 27898 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1322426640 is about 36365.1844488654. The cubic root of 1322426640 is about 1097.6331035824.

Adding to 1322426640 its reverse (466242231), we get a palindrome (1788668871).

The spelling of 1322426640 in words is "one billion, three hundred twenty-two million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7960 9552 11940 15920 23880 27689 47760 55378 83067 110756 138445 166134 221512 276890 332268 415335 443024 553780 664536 830670 1107560 1329072 1661340 2215120 3322680 5510111 6645360 11020222 16530333 22040444 27550555 33060666 44080888 55101110 66121332 82651665 88161776 110202220 132242664 165303330 220404440 264485328 330606660 440808880 661213320 1322426640