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3106933920 = 253253675879
BaseRepresentation
bin1011100100110000…
…0000110010100000
322000112020121002200
42321030000302200
522330333341140
61232144213200
7136664334246
oct27114006240
98015217080
103106933920
111354868492
1272860a200
133a68b514c
142168c0796
15132b68030
hexb9300ca0

3106933920 has 144 divisors (see below), whose sum is σ = 10633109760. Its totient is φ = 826117632.

The previous prime is 3106933891. The next prime is 3106933927. The reversal of 3106933920 is 293396013.

It is a happy number.

3106933920 is a `hidden beast` number, since 310 + 6 + 9 + 339 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3106933927) 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 23 ways as a sum of consecutive naturals, for example, 525541 + ... + 531419.

It is an arithmetic number, because the mean of its divisors is an integer number (73841040).

Almost surely, 23106933920 is an apocalyptic number.

3106933920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316554880).

3106933920 is an abundant number, since it is smaller than the sum of its proper divisors (7526175840).

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

3106933920 is a wasteful number, since it uses less digits than its factorization.

3106933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3106933920 is about 55739.8772872707. The cubic root of 3106933920 is about 1459.1860603614.

The spelling of 3106933920 in words is "three billion, one hundred six million, nine hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 367 480 720 734 1101 1440 1468 1835 2202 2936 3303 3670 4404 5505 5872 5879 6606 7340 8808 11010 11744 11758 13212 14680 16515 17616 17637 22020 23516 26424 29360 29395 33030 35232 35274 44040 47032 52848 52911 58720 58790 66060 70548 88080 88185 94064 105696 105822 117580 132120 141096 176160 176370 188128 211644 235160 264240 264555 282192 352740 423288 470320 528480 529110 564384 705480 846576 940640 1058220 1410960 1693152 2116440 2157593 2821920 4232880 4315186 6472779 8465760 8630372 10787965 12945558 17260744 19418337 21575930 25891116 32363895 34521488 38836674 43151860 51782232 64727790 69042976 77673348 86303720 97091685 103564464 129455580 155346696 172607440 194183370 207128928 258911160 310693392 345214880 388366740 517822320 621386784 776733480 1035644640 1553466960 3106933920