Search a number
-
+
332103000 = 23353313571
BaseRepresentation
bin10011110010110…
…111110101011000
3212010220120200010
4103302313311120
51140004244000
652542041520
711141554215
oct2362676530
9763816603
10332103000
11160510999
12932792a0
1353a5b068
143216cb0c
151e250d50
hex13cb7d58

332103000 has 128 divisors (see below), whose sum is σ = 1069885440. Its totient is φ = 85680000.

The previous prime is 332102959. The next prime is 332103001. The reversal of 332103000 is 301233.

It is a happy number.

It is a super-2 number, since 2×3321030002 = 220584805218000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91215 + ... + 94785.

It is an arithmetic number, because the mean of its divisors is an integer number (8358480).

Almost surely, 2332103000 is an apocalyptic number.

332103000 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 332103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534942720).

332103000 is an abundant number, since it is smaller than the sum of its proper divisors (737782440).

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

332103000 is a wasteful number, since it uses less digits than its factorization.

332103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 332103000 is about 18223.6933687988. The cubic root of 332103000 is about 692.5071571504.

Adding to 332103000 its reverse (301233), we get a palindrome (332404233).

The spelling of 332103000 in words is "three hundred thirty-two million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3571 3720 3875 4650 6200 7142 7750 9300 10713 11625 14284 15500 17855 18600 21426 23250 28568 31000 35710 42852 46500 53565 71420 85704 89275 93000 107130 110701 142840 178550 214260 221402 267825 332103 357100 428520 442804 446375 535650 553505 664206 714200 885608 892750 1071300 1107010 1328412 1339125 1660515 1785500 2142600 2214020 2656824 2678250 2767525 3321030 3571000 4428040 5356500 5535050 6642060 8302575 10713000 11070100 13284120 13837625 16605150 22140200 27675250 33210300 41512875 55350500 66420600 83025750 110701000 166051500 332103000