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3441001300 = 2252114496967
BaseRepresentation
bin1100110100011001…
…1000001101010100
322212210211222101121
43031012120031110
524021344020200
61325240333324
7151162012522
oct31506301524
98783758347
103441001300
1115063a0230
12800474244
1342ab80359
14249001312
15152155e1a
hexcd198354

3441001300 has 72 divisors (see below), whose sum is σ = 8165102400. Its totient is φ = 1248307200.

The previous prime is 3441001283. The next prime is 3441001303. The reversal of 3441001300 is 31001443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490417 + ... + 497383.

It is an arithmetic number, because the mean of its divisors is an integer number (113404200).

Almost surely, 23441001300 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 3441001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082551200).

3441001300 is an abundant number, since it is smaller than the sum of its proper divisors (4724101100).

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

3441001300 is a wasteful number, since it uses less digits than its factorization.

3441001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3441001300 is about 58660.0485850464. The cubic root of 3441001300 is about 1509.7149148216.

Adding to 3441001300 its reverse (31001443), we get a palindrome (3472002743).

The spelling of 3441001300 in words is "three billion, four hundred forty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 449 550 898 1100 1796 2245 4490 4939 6967 8980 9878 11225 13934 19756 22450 24695 27868 34835 44900 49390 69670 76637 98780 123475 139340 153274 174175 246950 306548 348350 383185 493900 696700 766370 1532740 1915925 3128183 3831850 6256366 7663700 12512732 15640915 31281830 34410013 62563660 68820026 78204575 137640052 156409150 172050065 312818300 344100130 688200260 860250325 1720500650 3441001300