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345208645438720 = 2857172266338271
BaseRepresentation
bin100111001111101110010011…
…0101011110100110100000000
31200021021121212001012012110021
41032133130212223310310000
5330221344301213014340
63222110355024543224
7132466334021341540
oct11637344653646400
91607247761165407
10345208645438720
119aaa3189863328
12328738b8a81b14
1311a810602408cb
14613628aa57320
1529d9a08212e4a
hex139f726af4d00

345208645438720 has 144 divisors (see below), whose sum is σ = 1000597412441088. Its totient is φ = 111395058647040.

The previous prime is 345208645438717. The next prime is 345208645438739. The reversal of 345208645438720 is 27834546802543.

It is a super-2 number, since 2×3452086454387202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133016816 + ... + 1133321455.

It is an arithmetic number, because the mean of its divisors is an integer number (6948593141952).

Almost surely, 2345208645438720 is an apocalyptic number.

It is an amenable number.

345208645438720 is an abundant number, since it is smaller than the sum of its proper divisors (655388767002368).

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

345208645438720 is a wasteful number, since it uses less digits than its factorization.

345208645438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266338316 (or 2266338302 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 61.

The spelling of 345208645438720 in words is "three hundred forty-five trillion, two hundred eight billion, six hundred forty-five million, four hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7616 8960 9520 10880 15232 19040 21760 30464 38080 76160 152320 2266338271 4532676542 9065353084 11331691355 15864367897 18130706168 22663382710 31728735794 36261412336 38527750607 45326765420 63457471588 72522824672 77055501214 79321839485 90653530840 126914943176 145045649344 154111002428 158643678970 181307061680 192638753035 253829886352 269694254249 290091298688 308222004856 317287357940 362614123360 385277506070 507659772704 539388508498 580182597376 616444009712 634574715880 725228246720 770555012140 1015319545408 1078777016996 1232888019424 1269149431760 1348471271245 1450456493440 1541110024280 2030639090816 2157554033992 2465776038848 2538298863520 2696942542490 2900912986880 3082220048560 4061278181632 4315108067984 4931552077696 5076597727040 5393885084980 6164440097120 8630216135968 9863104155392 10153195454080 10787770169960 12328880194240 17260432271936 20306390908160 21575540339920 24657760388480 34520864543872 43151080679840 49315520776960 69041729087744 86302161359680 172604322719360 345208645438720