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334073897820 = 2232513294922987
BaseRepresentation
bin1001101110010000101…
…10110010001101011100
31011221022011222101022200
410313020112302031130
520433140404212240
6413245455011500
733064443164325
oct4671026621534
91157264871280
10334073897820
11119753008033
12548b4809b90
132567021a120
141225265944c
158a53ca8930
hex4dc85b235c

334073897820 has 144 divisors (see below), whose sum is σ = 1128939608160. Its totient is φ = 79397918208.

The previous prime is 334073897779. The next prime is 334073897821. The reversal of 334073897820 is 28798370433.

It is a super-2 number, since 2×3340738978202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334073897821) by changing a digit.

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, 2393634 + ... + 2529353.

It is an arithmetic number, because the mean of its divisors is an integer number (7839858390).

Almost surely, 2334073897820 is an apocalyptic number.

334073897820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334073897820 is an abundant number, since it is smaller than the sum of its proper divisors (794865710340).

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

334073897820 is a wasteful number, since it uses less digits than its factorization.

334073897820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923044 (or 4923039 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 334073897820 in words is "three hundred thirty-four billion, seventy-three million, eight hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 4922987 9845974 14768961 19691948 24614935 29537922 44306883 49229870 59075844 63998831 73844805 88613766 98459740 127997662 142766623 147689610 177227532 191996493 221534415 255995324 285533246 295379220 319994155 383992986 428299869 443068830 571066492 575989479 639988310 713833115 767985972 856599738 886137660 959982465 1151978958 1279976620 1284899607 1427666230 1713199476 1855966099 1919964930 2141499345 2303957916 2569799214 2855332460 2879947395 3711932198 3839929860 4282998690 5139598428 5567898297 5759894790 6424498035 7423864396 8565997380 9279830495 11135796594 11519789580 12848996070 16703694891 18559660990 22271593188 25697992140 27839491485 33407389782 37119321980 55678982970 66814779564 83518474455 111357965940 167036948910 334073897820