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345406860 = 223255413547
BaseRepresentation
bin10100100101100…
…111110110001100
3220001221111010200
4110211213312030
51201411004420
654135133500
711362624041
oct2445476614
9801844120
10345406860
11167a78317
1297814290
1356738676
1433c331c8
15204ccb90
hex14967d8c

345406860 has 72 divisors (see below), whose sum is σ = 1049966736. Its totient is φ = 91912320.

The previous prime is 345406823. The next prime is 345406879. The reversal of 345406860 is 68604543.

345406860 is a `hidden beast` number, since 34 + 540 + 6 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 95607 + ... + 99153.

Almost surely, 2345406860 is an apocalyptic number.

345406860 is a gapful number since it is divisible by the number (30) 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 345406860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524983368).

345406860 is an abundant number, since it is smaller than the sum of its proper divisors (704559876).

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

345406860 is a wasteful number, since it uses less digits than its factorization.

345406860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 345406860 is about 18585.1246969182. The cubic root of 345406860 is about 701.6335048512.

The spelling of 345406860 in words is "three hundred forty-five million, four hundred six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 541 1082 1623 2164 2705 3246 3547 4869 5410 6492 7094 8115 9738 10641 10820 14188 16230 17735 19476 21282 24345 31923 32460 35470 42564 48690 53205 63846 70940 97380 106410 127692 159615 212820 319230 638460 1918927 3837854 5756781 7675708 9594635 11513562 17270343 19189270 23027124 28783905 34540686 38378540 57567810 69081372 86351715 115135620 172703430 345406860