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309289540 = 22574383619
BaseRepresentation
bin10010011011110…
…110001001000100
3210112222112111011
4102123312021010
51113134231130
650405052004
710443626530
oct2233661104
9715875434
10309289540
1114964989a
12876b7004
134c101181
142d110bc0
151c24652a
hex126f6244

309289540 has 96 divisors (see below), whose sum is σ = 769950720. Its totient is φ = 102162816.

The previous prime is 309289537. The next prime is 309289567. The reversal of 309289540 is 45982903.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 309289493 and 309289502.

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 31 ways as a sum of consecutive naturals, for example, 499351 + ... + 499969.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2309289540 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 309289540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

309289540 is an abundant number, since it is smaller than the sum of its proper divisors (460661180).

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

309289540 is a wasteful number, since it uses less digits than its factorization.

309289540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 309289540 is about 17586.6295804512. The cubic root of 309289540 is about 676.2725258799.

The spelling of 309289540 in words is "three hundred nine million, two hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 83 86 140 166 172 215 301 332 415 430 581 602 619 830 860 1162 1204 1238 1505 1660 2324 2476 2905 3010 3095 3569 4333 5810 6020 6190 7138 8666 11620 12380 14276 17332 17845 21665 24983 26617 35690 43330 49966 51377 53234 71380 86660 99932 102754 106468 124915 133085 186319 205508 249830 256885 266170 359639 372638 499660 513770 532340 719278 745276 931595 1027540 1438556 1798195 1863190 2209211 3596390 3726380 4418422 7192780 8836844 11046055 15464477 22092110 30928954 44184220 61857908 77322385 154644770 309289540