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3104240100 = 22352133132543
BaseRepresentation
bin1011100100000110…
…1111000111100100
322000100011201212120
42321001233013210
522324141140400
61232010345540
7136632414453
oct27101570744
98010151776
103104240100
111353298595
1272772b2b0
133a6180c80
142163bcb9a
151327d4ca0
hexb906f1e4

3104240100 has 144 divisors (see below), whose sum is σ = 9707212032. Its totient is φ = 761379840.

The previous prime is 3104240099. The next prime is 3104240129. The reversal of 3104240100 is 10424013.

3104240100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3104240100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219429 + ... + 1221971.

Almost surely, 23104240100 is an apocalyptic number.

3104240100 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 3104240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853606016).

3104240100 is an abundant number, since it is smaller than the sum of its proper divisors (6602971932).

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

3104240100 is a wasteful number, since it uses less digits than its factorization.

3104240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3104240100 is about 55715.7078389928. The cubic root of 3104240100 is about 1458.7642166956.

3104240100 divided by its sum of digits (15) gives a triangular number (206949340 = T20344).

Adding to 3104240100 its reverse (10424013), we get a palindrome (3114664113).

The spelling of 3104240100 in words is "three billion, one hundred four million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 313 325 390 626 650 780 939 975 1252 1300 1565 1878 1950 2543 3130 3756 3900 4069 4695 5086 6260 7629 7825 8138 9390 10172 12207 12715 15258 15650 16276 18780 20345 23475 24414 25430 30516 31300 33059 38145 40690 46950 48828 50860 61035 63575 66118 76290 81380 93900 99177 101725 122070 127150 132236 152580 165295 190725 198354 203450 244140 254300 305175 330590 381450 396708 406900 495885 610350 661180 762900 795959 826475 991770 1220700 1591918 1652950 1983540 2387877 2479425 3183836 3305900 3979795 4775754 4958850 7959590 9551508 9917700 10347467 11939385 15919180 19898975 20694934 23878770 31042401 39797950 41389868 47757540 51737335 59696925 62084802 79595900 103474670 119393850 124169604 155212005 206949340 238787700 258686675 310424010 517373350 620848020 776060025 1034746700 1552120050 3104240100