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3434113536 = 29373110303
BaseRepresentation
bin1100110010110000…
…0110101000000000
322212022220001011020
43030230012220000
524013113113121
61324432545440
7151046324550
oct31454065000
98768801136
103434113536
111502516367
127ba0b2280
1342960b259
1424812b160
151517451c6
hexccb06a00

3434113536 has 160 divisors (see below), whose sum is σ = 10793975808. Its totient is φ = 949432320.

The previous prime is 3434113531. The next prime is 3434113537. The reversal of 3434113536 is 6353114343.

It is a junction number, because it is equal to n+sod(n) for n = 3434113497 and 3434113506.

It is not an unprimeable number, because it can be changed into a prime (3434113531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328161 + ... + 338463.

Almost surely, 23434113536 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 3434113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396987904).

3434113536 is an abundant number, since it is smaller than the sum of its proper divisors (7359862272).

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

3434113536 is a wasteful number, since it uses less digits than its factorization.

3434113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10346 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 3434113536 is about 58601.3100194868. The cubic root of 3434113536 is about 1508.7069227638.

Adding to 3434113536 its reverse (6353114343), we get a palindrome (9787227879).

The spelling of 3434113536 in words is "three billion, four hundred thirty-four million, one hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10303 10416 10752 11904 13888 15872 20606 20832 23808 27776 30909 41212 41664 47616 55552 61818 72121 82424 83328 111104 123636 144242 164848 166656 216363 247272 288484 319393 329696 333312 432726 494544 576968 638786 659392 865452 958179 989088 1153936 1277572 1318784 1730904 1916358 1978176 2235751 2307872 2555144 2637568 3461808 3832716 3956352 4471502 4615744 5110288 5275136 6707253 6923616 7665432 7912704 8943004 9231488 10220576 13414506 13847232 15330864 15825408 17886008 18462976 20441152 26829012 27694464 30661728 35772016 36925952 40882304 53658024 55388928 61323456 71544032 81764608 107316048 110777856 122646912 143088064 163529216 214632096 245293824 286176128 429264192 490587648 572352256 858528384 1144704512 1717056768 3434113536