[go: up one dir, main page]

Search a number
-
+
3342401100 = 22325230712097
BaseRepresentation
bin1100011100111000…
…1111111001001100
322121221022120100100
43013032033321030
523321123313400
61311355131100
7145553640423
oct30716177114
98557276310
103342401100
111465775465
12793443a90
13413609a3c
14239c962ba
1514867b100
hexc738fe4c

3342401100 has 108 divisors (see below), whose sum is σ = 10511565064. Its totient is φ = 888330240.

The previous prime is 3342401081. The next prime is 3342401107. The reversal of 3342401100 is 11042433.

It is a super-2 number, since 2×33424011002 = 22343290226562420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3342401107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270252 + ... + 282348.

Almost surely, 23342401100 is an apocalyptic number.

3342401100 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 3342401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255782532).

3342401100 is an abundant number, since it is smaller than the sum of its proper divisors (7169163964).

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

3342401100 is a wasteful number, since it uses less digits than its factorization.

3342401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3342401100 is about 57813.5027480605. The cubic root of 3342401100 is about 1495.1549001887.

Adding to 3342401100 its reverse (11042433), we get a palindrome (3353443533).

The spelling of 3342401100 in words is "three billion, three hundred forty-two million, four hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 307 450 614 900 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 7675 9210 11052 12097 13815 15350 18420 23025 24194 27630 30700 36291 46050 48388 55260 60485 69075 72582 92100 108873 120970 138150 145164 181455 217746 241940 276300 302425 362910 435492 544365 604850 725820 907275 1088730 1209700 1814550 2177460 2721825 3629100 3713779 5443650 7427558 10887300 11141337 14855116 18568895 22282674 33424011 37137790 44565348 55706685 66848022 74275580 92844475 111413370 133696044 167120055 185688950 222826740 278533425 334240110 371377900 557066850 668480220 835600275 1114133700 1671200550 3342401100