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3459120228 = 223479149907
BaseRepresentation
bin1100111000101101…
…1111110001100100
322221001221111220000
43032023133301210
524041013321403
61331124541300
7151502015424
oct31613376144
98831844800
103459120228
111515646253
12806551830
13431855505
1424b59a484
15153a347a3
hexce2dfc64

3459120228 has 120 divisors (see below), whose sum is σ = 9228912000. Its totient is φ = 1129557312.

The previous prime is 3459120211. The next prime is 3459120239. The reversal of 3459120228 is 8220219543.

It is a happy number.

3459120228 is a `hidden beast` number, since 345 + 91 + 2 + 0 + 228 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3459120192 and 3459120201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3813351 + ... + 3814257.

It is an arithmetic number, because the mean of its divisors is an integer number (76907600).

Almost surely, 23459120228 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 3459120228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614456000).

3459120228 is an abundant number, since it is smaller than the sum of its proper divisors (5769791772).

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

3459120228 is a wasteful number, since it uses less digits than its factorization.

3459120228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3459120228 is about 58814.2859176238. The cubic root of 3459120228 is about 1512.3601277479.

The spelling of 3459120228 in words is "three billion, four hundred fifty-nine million, one hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 149 158 162 237 298 316 324 447 474 596 711 894 907 948 1341 1422 1788 1814 2133 2682 2721 2844 3628 4023 4266 5364 5442 6399 8046 8163 8532 10884 11771 12069 12798 16092 16326 23542 24138 24489 25596 32652 35313 47084 48276 48978 70626 71653 73467 97956 105939 135143 141252 143306 146934 211878 214959 270286 286612 293868 317817 405429 423756 429918 540572 635634 644877 810858 859836 953451 1216287 1271268 1289754 1621716 1906902 1934631 2432574 2579508 3648861 3813804 3869262 4865148 5803893 7297722 7738524 10676297 10946583 11607786 14595444 21352594 21893166 23215572 32028891 42705188 43786332 64057782 96086673 128115564 192173346 288260019 384346692 576520038 864780057 1153040076 1729560114 3459120228