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345467010080 = 25529116364019
BaseRepresentation
bin1010000011011110111…
…00000011110000100000
31020000201012010110012102
411001233130003300200
521130004023310310
6422412204545532
733646665064133
oct5015734036040
91200635113172
10345467010080
1112356a136995
1256b542522a8
1326767713c7a
1412a1381a21a
158ebe0ea8a5
hex506f703c20

345467010080 has 96 divisors (see below), whose sum is σ = 845048635200. Its totient is φ = 133304937472.

The previous prime is 345467010073. The next prime is 345467010113. The reversal of 345467010080 is 80010764543.

It is a super-2 number, since 2×3454670100802 (a number of 24 digits) contains 22 as substring.

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, 5364311 + ... + 5428329.

It is an arithmetic number, because the mean of its divisors is an integer number (8802589950).

Almost surely, 2345467010080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345467010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422524317600).

345467010080 is an abundant number, since it is smaller than the sum of its proper divisors (499581625120).

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

345467010080 is a wasteful number, since it uses less digits than its factorization.

345467010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65226 (or 65218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 345467010080 in words is "three hundred forty-five billion, four hundred sixty-seven million, ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 1163 2320 2326 4640 4652 5815 9304 11630 18608 23260 33727 37216 46520 64019 67454 93040 128038 134908 168635 186080 256076 269816 320095 337270 512152 539632 640190 674540 1024304 1079264 1280380 1349080 1856551 2048608 2560760 2698160 3713102 5121520 5396320 7426204 9282755 10243040 14852408 18565510 29704816 37131020 59409632 74262040 74454097 148524080 148908194 297048160 297816388 372270485 595632776 744540970 1191265552 1489081940 2159168813 2382531104 2978163880 4318337626 5956327760 8636675252 10795844065 11912655520 17273350504 21591688130 34546701008 43183376260 69093402016 86366752520 172733505040 345467010080