Search a number
-
+
3441601404 = 22321914933769
BaseRepresentation
bin1100110100100010…
…1010101101111100
322212211222110120200
43031020222231330
524022022221104
61325301243500
7151200062223
oct31510525574
98784873520
103441601404
11150677008a
12800703590
1342b030547
14249119cba
15152223b39
hexcd22ab7c

3441601404 has 72 divisors (see below), whose sum is σ = 9219210000. Its totient is φ = 1079495424.

The previous prime is 3441601399. The next prime is 3441601409. The reversal of 3441601404 is 4041061443.

It is an interprime number because it is at equal distance from previous prime (3441601399) and next prime (3441601409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441601409) 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 23 ways as a sum of consecutive naturals, for example, 85032 + ... + 118800.

Almost surely, 23441601404 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 3441601404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609605000).

3441601404 is an abundant number, since it is smaller than the sum of its proper divisors (5777608596).

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

3441601404 is a wasteful number, since it uses less digits than its factorization.

3441601404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33947 (or 33942 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3441601404 is about 58665.1634618024. The cubic root of 3441601404 is about 1509.8026735114.

Adding to 3441601404 its reverse (4041061443), we get a palindrome (7482662847).

The spelling of 3441601404 in words is "three billion, four hundred forty-one million, six hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 149 171 228 298 342 447 596 684 894 1341 1788 2682 2831 5364 5662 8493 11324 16986 25479 33769 33972 50958 67538 101307 101916 135076 202614 303921 405228 607842 641611 1215684 1283222 1924833 2566444 3849666 5031581 5774499 7699332 10063162 11548998 15094743 20126324 23097996 30189486 45284229 60378972 90568458 95600039 181136916 191200078 286800117 382400156 573600234 860400351 1147200468 1720800702 3441601404