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3343457328 = 243293177577
BaseRepresentation
bin1100011101001001…
…0001110000110000
322122000022020012220
43013102101300300
523321411113303
61311433521040
7145565630001
oct30722216060
98560266186
103343457328
111466326a82
12793873180
134138b9723
1423a08d1a8
151487d9053
hexc7491c30

3343457328 has 80 divisors (see below), whose sum is σ = 8964470880. Its totient is φ = 1072519168.

The previous prime is 3343457317. The next prime is 3343457329. The reversal of 3343457328 is 8237543433.

It is a super-2 number, since 2×33434573282 = 22357413808313799168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3343457328.

It is not an unprimeable number, because it can be changed into a prime (3343457329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 437476 + ... + 445052.

It is an arithmetic number, because the mean of its divisors is an integer number (112055886).

Almost surely, 23343457328 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 3343457328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482235440).

3343457328 is an abundant number, since it is smaller than the sum of its proper divisors (5621013552).

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

3343457328 is a wasteful number, since it uses less digits than its factorization.

3343457328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7928 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 3343457328 is about 57822.6368129299. The cubic root of 3343457328 is about 1495.3123776131.

The spelling of 3343457328 in words is "three billion, three hundred forty-three million, four hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 317 348 464 634 696 951 1268 1392 1902 2536 3804 5072 7577 7608 9193 15154 15216 18386 22731 27579 30308 36772 45462 55158 60616 73544 90924 110316 121232 147088 181848 219733 220632 363696 439466 441264 659199 878932 1318398 1757864 2401909 2636796 3515728 4803818 5273592 7205727 9607636 10547184 14411454 19215272 28822908 38430544 57645816 69655361 115291632 139310722 208966083 278621444 417932166 557242888 835864332 1114485776 1671728664 3343457328