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301104020 = 2257219103157
BaseRepresentation
bin10001111100100…
…111101110010100
3202222120200001202
4101330213232110
51104040312040
645513412032
710314225200
oct2174475624
9688520052
10301104020
11144a689a8
1284a0a018
134a4c6479
142bdbdb00
151b67b015
hex11f27b94

301104020 has 144 divisors (see below), whose sum is σ = 786764160. Its totient is φ = 96235776.

The previous prime is 301104007. The next prime is 301104029. The reversal of 301104020 is 20401103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 301103992 and 301104010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301104029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1917782 + ... + 1917938.

It is an arithmetic number, because the mean of its divisors is an integer number (5463640).

Almost surely, 2301104020 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 301104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393382080).

301104020 is an abundant number, since it is smaller than the sum of its proper divisors (485660140).

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

301104020 is a wasteful number, since it uses less digits than its factorization.

301104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 301104020 is about 17352.3491205082. The cubic root of 301104020 is about 670.2531307586.

Adding to 301104020 its reverse (20401103), we get a palindrome (321505123).

The spelling of 301104020 in words is "three hundred one million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 103 133 140 157 190 196 206 245 266 314 380 412 490 515 532 628 665 721 785 931 980 1030 1099 1330 1442 1570 1862 1957 2060 2198 2660 2884 2983 3140 3605 3724 3914 4396 4655 5047 5495 5966 7210 7693 7828 9310 9785 10094 10990 11932 13699 14420 14915 15386 16171 18620 19570 20188 20881 21980 25235 27398 29830 30772 32342 38465 39140 41762 50470 54796 59660 64684 68495 76930 80855 83524 95893 100940 104405 113197 136990 146167 153860 161710 191786 208810 226394 273980 292334 307249 323420 383572 417620 452788 479465 565985 584668 614498 730835 792379 958930 1131970 1228996 1461670 1536245 1584758 1917860 2150743 2263940 2923340 3072490 3169516 3961895 4301486 6144980 7923790 8602972 10753715 15055201 15847580 21507430 30110402 43014860 60220804 75276005 150552010 301104020