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345208424880 = 243511413189287
BaseRepresentation
bin1010000011000000000…
…01101000100110110000
31020000001011112221222210
411001200001220212300
521123441324044010
6422330410332120
733640405124334
oct5014001504660
91200034487883
10345208424880
1112344717a010
1256aa172a040
1326725c86987
14129cb3477c4
158ea656cb20
hex50600689b0

345208424880 has 160 divisors (see below), whose sum is σ = 1195906457088. Its totient is φ = 81645721600.

The previous prime is 345208424879. The next prime is 345208424887. The reversal of 345208424880 is 88424802543.

It is a super-3 number, since 3×3452084248803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345208424887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486404 + ... + 1702883.

Almost surely, 2345208424880 is an apocalyptic number.

345208424880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345208424880 is an abundant number, since it is smaller than the sum of its proper divisors (850698032208).

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

345208424880 is a wasteful number, since it uses less digits than its factorization.

345208424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189355 (or 3189349 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 345208424880 in words is "three hundred forty-five billion, two hundred eight million, four hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240 3189287 6378574 9567861 12757148 15946435 19135722 25514296 31892870 35082157 38271444 47839305 51028592 63785740 70164314 76542888 95678610 105246471 127571480 130760767 140328628 153085776 175410785 191357220 210492942 255142960 261521534 280657256 350821570 382714440 392282301 420985884 523043068 526232355 561314512 653803835 701643140 765428880 784564602 841971768 1046086136 1052464710 1307607670 1403286280 1438368437 1569129204 1683943536 1961411505 2092172272 2104929420 2615215340 2806572560 2876736874 3138258408 3922823010 4209858840 4315105311 5230430680 5753473748 6276516816 7191842185 7845646020 8419717680 8630210622 10460861360 11506947496 14383684370 15691292040 17260421244 21575526555 23013894992 28767368740 31382584080 34520842488 43151053110 57534737480 69041684976 86302106220 115069474960 172604212440 345208424880