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3334019328 = 28321785121
BaseRepresentation
bin1100011010111001…
…0001100100000000
322121100112201201100
43012232101210000
523312002104303
61310455334400
7145422460653
oct30656214400
98540481640
103334019328
111460a70082
12790681400
13411963903
14238b1389a
15147a728a3
hexc6b91900

3334019328 has 108 divisors (see below), whose sum is σ = 10178378028. Its totient is φ = 1045954560.

The previous prime is 3334019317. The next prime is 3334019333. The reversal of 3334019328 is 8239104333.

It can be written as a sum of positive squares in 2 ways, for example, as 2869530624 + 464488704 = 53568^2 + 21552^2 .

It is a super-2 number, since 2×33340193282 = 22231369758955143168, which contains 22 as substring.

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 = 3334019292 and 3334019301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3393 + ... + 81728.

It is an arithmetic number, because the mean of its divisors is an integer number (94244241).

Almost surely, 23334019328 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 3334019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089189014).

3334019328 is an abundant number, since it is smaller than the sum of its proper divisors (6844358700).

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

3334019328 is a wasteful number, since it uses less digits than its factorization.

3334019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85160 (or 85143 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3334019328 is about 57740.9675014196. The cubic root of 3334019328 is about 1493.9040491487.

The spelling of 3334019328 in words is "three billion, three hundred thirty-four million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 85121 170242 255363 340484 510726 680968 766089 1021452 1361936 1447057 1532178 2042904 2723872 2894114 3064356 4085808 4341171 5447744 5788228 6128712 8171616 8682342 10895488 11576456 12257424 13023513 16343232 17364684 21790976 23152912 24514848 26047026 32686464 34729368 46305824 49029696 52094052 65372928 69458736 92611648 98059392 104188104 138917472 185223296 196118784 208376208 277834944 370446592 416752416 555669888 833504832 1111339776 1667009664 3334019328