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3343089408 = 28333113151
BaseRepresentation
bin1100011101000011…
…0111111100000000
322121222121112112020
43013100313330000
523321312330113
61311422001440
7145562535231
oct30720677400
98558545466
103343089408
1114660a560a
12793716280
134137bb119
14239dd5088
15148765023
hexc7437f00

3343089408 has 72 divisors (see below), whose sum is σ = 8925052416. Its totient is φ = 1110912000.

The previous prime is 3343089397. The next prime is 3343089433. The reversal of 3343089408 is 8049803433.

It is a super-2 number, since 2×33430894082 = 22352493579763580928, 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 3343089408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247633 + ... + 260783.

Almost surely, 23343089408 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 3343089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462526208).

3343089408 is an abundant number, since it is smaller than the sum of its proper divisors (5581963008).

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

3343089408 is a wasteful number, since it uses less digits than its factorization.

3343089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13501 (or 13487 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3343089408 is about 57819.4552724254. The cubic root of 3343089408 is about 1495.2575266552.

The spelling of 3343089408 in words is "three billion, three hundred forty-three million, eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 662 768 993 1324 1986 2648 3972 5296 7944 10592 13151 15888 21184 26302 31776 39453 42368 52604 63552 78906 84736 105208 127104 157812 210416 254208 315624 420832 631248 841664 1262496 1683328 2524992 3366656 4352981 5049984 8705962 10099968 13058943 17411924 26117886 34823848 52235772 69647696 104471544 139295392 208943088 278590784 417886176 557181568 835772352 1114363136 1671544704 3343089408