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3441034300 = 2252113103251
BaseRepresentation
bin1100110100011010…
…0000010000111100
322212210220122122211
43031012200100330
524021401044200
61325241150204
7151162210654
oct31506402074
98783818584
103441034300
111506413000
1280048b364
1342ab92392
1424900d364
15152160aba
hexcd1a043c

3441034300 has 144 divisors (see below), whose sum is σ = 8325967104. Its totient is φ = 1234200000.

The previous prime is 3441034291. The next prime is 3441034319. The reversal of 3441034300 is 34301443.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13709175 + ... + 13709425.

It is an arithmetic number, because the mean of its divisors is an integer number (57819216).

Almost surely, 23441034300 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 3441034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162983552).

3441034300 is an abundant number, since it is smaller than the sum of its proper divisors (4884932804).

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

3441034300 is a wasteful number, since it uses less digits than its factorization.

3441034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3441034300 is about 58660.3298661029. The cubic root of 3441034300 is about 1509.7197409781.

Adding to 3441034300 its reverse (34301443), we get a palindrome (3475335743).

The spelling of 3441034300 in words is "three billion, four hundred forty-one million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 121 206 220 242 251 275 412 484 502 515 550 605 1004 1030 1100 1133 1210 1255 1331 2060 2266 2420 2510 2575 2662 2761 3025 4532 5020 5150 5324 5522 5665 6050 6275 6655 10300 11044 11330 12100 12463 12550 13310 13805 22660 24926 25100 25853 26620 27610 28325 30371 33275 49852 51706 55220 56650 60742 62315 66550 69025 103412 113300 121484 124630 129265 133100 137093 138050 151855 249260 258530 274186 276100 284383 303710 311575 334081 517060 548372 568766 607420 623150 646325 668162 685465 759275 1137532 1246300 1292650 1336324 1370930 1421915 1518550 1670405 2585300 2741860 2843830 3037100 3128213 3340810 3427325 5687660 6256426 6681620 6854650 7109575 8352025 12512852 13709300 14219150 15641065 16704050 28438300 31282130 33408100 34410343 62564260 68820686 78205325 137641372 156410650 172051715 312821300 344103430 688206860 860258575 1720517150 3441034300