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3420027090 = 2335231075147
BaseRepresentation
bin1100101111011001…
…0111100011010010
322211100101101012000
43023312113203102
524001011331330
61323211014430
7150515515314
oct31366274322
98740341160
103420027090
1114a5574a77
127b543a416
1342671868c
142463017b4
151503b1560
hexcbd978d2

3420027090 has 128 divisors (see below), whose sum is σ = 9607403520. Its totient is φ = 864033984.

The previous prime is 3420027077. The next prime is 3420027109. The reversal of 3420027090 is 907200243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661897 + ... + 667043.

It is an arithmetic number, because the mean of its divisors is an integer number (75057840).

Almost surely, 23420027090 is an apocalyptic number.

3420027090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420027090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803701760).

3420027090 is an abundant number, since it is smaller than the sum of its proper divisors (6187376430).

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

3420027090 is a wasteful number, since it uses less digits than its factorization.

3420027090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3420027090 is about 58480.9976830081. The cubic root of 3420027090 is about 1506.6412326242.

The spelling of 3420027090 in words is "three billion, four hundred twenty million, twenty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 107 115 135 138 207 214 230 270 321 345 414 535 621 642 690 963 1035 1070 1242 1605 1926 2070 2461 2889 3105 3210 4815 4922 5147 5778 6210 7383 9630 10294 12305 14445 14766 15441 22149 24610 25735 28890 30882 36915 44298 46323 51470 66447 73830 77205 92646 110745 118381 132894 138969 154410 221490 231615 236762 277938 332235 355143 463230 550729 591905 664470 694845 710286 1065429 1101458 1183810 1389690 1652187 1775715 2130858 2753645 3196287 3304374 3551430 4956561 5327145 5507290 6392574 8260935 9913122 10654290 12666767 14869683 15981435 16521870 24782805 25333534 29739366 31962870 38000301 49565610 63333835 74348415 76000602 114000903 126667670 148696830 190001505 228001806 342002709 380003010 570004515 684005418 1140009030 1710013545 3420027090