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345211194096 = 243223267139023
BaseRepresentation
bin1010000011000000011…
…00001100101011110000
31020000001100202122122100
411001200030030223300
521123443031202341
6422330545540400
733640440510006
oct5014014145360
91200040678570
10345211194096
111234487a061a
1256aa2644700
1326726716272
14129cb868a76
158ea69183b6
hex506030caf0

345211194096 has 120 divisors (see below), whose sum is σ = 1008520022016. Its totient is φ = 110023309440.

The previous prime is 345211194077. The next prime is 345211194109. The reversal of 345211194096 is 690491112543.

345211194096 is a `hidden beast` number, since 3 + 4 + 521 + 119 + 4 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8826841 + ... + 8865863.

Almost surely, 2345211194096 is an apocalyptic number.

345211194096 is a gapful number since it is divisible by the number (36) 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 345211194096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504260011008).

345211194096 is an abundant number, since it is smaller than the sum of its proper divisors (663308827920).

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

345211194096 is a wasteful number, since it uses less digits than its factorization.

345211194096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41731 (or 41722 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 345211194096 in words is "three hundred forty-five billion, two hundred eleven million, one hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2671 3312 5342 8013 10684 16026 21368 24039 32052 39023 42736 48078 61433 64104 78046 96156 117069 122866 128208 156092 184299 192312 234138 245732 312184 351207 368598 384624 468276 491464 552897 624368 702414 737196 897529 936552 982928 1105794 1404828 1474392 1795058 1873104 2211588 2692587 2809656 2948784 3590116 4423176 5385174 5619312 7180232 8077761 8846352 10770348 14360464 16155522 21540696 32311044 43081392 64622088 104230433 129244176 208460866 312691299 416921732 625382598 833843464 938073897 1250765196 1667686928 1876147794 2397299959 2501530392 3752295588 4794599918 5003060784 7191899877 7504591176 9589199836 14383799754 15009182352 19178399672 21575699631 28767599508 38356799344 43151399262 57535199016 86302798524 115070398032 172605597048 345211194096