[go: up one dir, main page]

Search a number
-
+
4344241302 = 2331747107941
BaseRepresentation
bin1000000101110111…
…11101110010010110
3102012202110022202000
410002323331302112
532344111210202
61555024100130
7212440304352
oct40273756226
912182408660
104344241302
11192a235875
12a12a64646
1354303c6ab
142d2d62462
151a65c291c
hex102efdc96

4344241302 has 128 divisors (see below), whose sum is σ = 10547988480. Its totient is φ = 1320030720.

The previous prime is 4344241289. The next prime is 4344241309. The reversal of 4344241302 is 2031424434.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344241309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4616152 + ... + 4617092.

It is an arithmetic number, because the mean of its divisors is an integer number (82406160).

Almost surely, 24344241302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344241302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273994240).

4344241302 is an abundant number, since it is smaller than the sum of its proper divisors (6203747178).

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

4344241302 is a wasteful number, since it uses less digits than its factorization.

4344241302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4344241302 is about 65910.8587563536. The cubic root of 4344241302 is about 1631.6912329466.

Adding to 4344241302 its reverse (2031424434), we get a palindrome (6375665736).

The spelling of 4344241302 in words is "four billion, three hundred forty-four million, two hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 107 141 153 214 282 306 321 423 459 642 799 846 918 941 963 1269 1598 1819 1882 1926 2397 2538 2823 2889 3638 4794 5029 5457 5646 5778 7191 8469 10058 10914 14382 15087 15997 16371 16938 21573 25407 30174 31994 32742 43146 44227 45261 47991 49113 50814 85493 88454 90522 95982 98226 100687 132681 135783 143973 170986 201374 256479 265362 271566 287946 302061 398043 431919 512958 604122 751859 769437 796086 863838 906183 1194129 1503718 1538874 1711679 1812366 2255577 2308311 2388258 2718549 3423358 4511154 4616622 4732289 5135037 5437098 6766731 9464578 10270074 13533462 14196867 15405111 20300193 28393734 30810222 40600386 42590601 46215333 80448913 85181202 92430666 127771803 160897826 241346739 255543606 482693478 724040217 1448080434 2172120651 4344241302