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3344804786820 = 2235721283886741
BaseRepresentation
bin110000101011000101111…
…001101011001010000100
3102211202112012022022010010
4300223011321223022010
5414300130011134240
611040325422430220
7463440244405200
oct60530571531204
912752465268103
103344804786820
11107a584115512
124602b4432370
131b354bca0393
14b7c647adb00
155c015630280
hex30ac5e6b284

3344804786820 has 144 divisors (see below), whose sum is σ = 10903010747328. Its totient is φ = 763930056960.

The previous prime is 3344804786759. The next prime is 3344804786831. The reversal of 3344804786820 is 286874084433.

It is a super-2 number, since 2×33448047868202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328650 + ... + 4215390.

It is an arithmetic number, because the mean of its divisors is an integer number (75715352412).

Almost surely, 23344804786820 is an apocalyptic number.

3344804786820 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 3344804786820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451505373664).

3344804786820 is an abundant number, since it is smaller than the sum of its proper divisors (7558205960508).

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

3344804786820 is a wasteful number, since it uses less digits than its factorization.

3344804786820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888050 (or 888041 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 3344804786820 in words is "three trillion, three hundred forty-four billion, eight hundred four million, seven hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1283 1470 2566 2940 3849 5132 6415 7698 8981 12830 15396 17962 19245 25660 26943 35924 38490 44905 53886 62867 76980 89810 107772 125734 134715 179620 188601 251468 269430 314335 377202 538860 628670 754404 886741 943005 1257340 1773482 1886010 2660223 3546964 3772020 4433705 5320446 6207187 8867410 10640892 12414374 13301115 17734820 18621561 24828748 26602230 31035935 37243122 43450309 53204460 62071870 74486244 86900618 93107805 124143740 130350927 173801236 186215610 217251545 260701854 372431220 434503090 521403708 651754635 869006180 1137688703 1303509270 2275377406 2607018540 3413066109 4550754812 5688443515 6826132218 7963820921 11376887030 13652264436 15927641842 17065330545 22753774060 23891462763 31855283684 34130661090 39819104605 47782925526 55746746447 68261322180 79638209210 95565851052 111493492894 119457313815 159276418420 167240239341 222986985788 238914627630 278733732235 334480478682 477829255260 557467464470 668960957364 836201196705 1114934928940 1672402393410 3344804786820