Search a number
-
+
3443600350464 = 283231163167627
BaseRepresentation
bin110010000111000110100…
…100110101110100000000
3110012012112102120221021220
4302013012210311310000
5422404443142203324
611153545042315040
7503535425010351
oct62070644656400
913165472527256
103443600350464
11110847169476a
12477486958a80
131bc9650c4291
14bc9578a7d28
155e898c54b79
hex321c6935d00

3443600350464 has 144 divisors (see below), whose sum is σ = 9571757271552. Its totient is φ = 1097008912384.

The previous prime is 3443600350391. The next prime is 3443600350501. The reversal of 3443600350464 is 4640530063443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20459419 + ... + 20627045.

It is an arithmetic number, because the mean of its divisors is an integer number (66470536608).

Almost surely, 23443600350464 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 3443600350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785878635776).

3443600350464 is an abundant number, since it is smaller than the sum of its proper divisors (6128156921088).

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

3443600350464 is a wasteful number, since it uses less digits than its factorization.

3443600350464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168832 (or 168818 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 3443600350464 in words is "three trillion, four hundred forty-three billion, six hundred million, three hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1163 1472 2208 2326 2944 3489 4416 4652 5888 6978 8832 9304 13956 17664 18608 26749 27912 37216 53498 55824 74432 80247 106996 111648 148864 160494 167627 213992 223296 297728 320988 335254 427984 446592 502881 641976 670508 855968 893184 1005762 1283952 1341016 1711936 2011524 2567904 2682032 3423872 3855421 4023048 5135808 5364064 6847744 7710842 8046096 10271616 10728128 11566263 15421684 16092192 20543232 21456256 23132526 30843368 32184384 42912512 46265052 61686736 64368768 92530104 123373472 128737536 185060208 194950201 246746944 370120416 389900402 493493888 584850603 740240832 779800804 986987776 1169701206 1480481664 1559601608 2339402412 2960963328 3119203216 4483854623 4678804824 6238406432 8967709246 9357609648 12476812864 13451563869 17935418492 18715219296 24953625728 26903127738 35870836984 37430438592 49907251456 53806255476 71741673968 74860877184 107612510952 143483347936 149721754368 215225021904 286966695872 430450043808 573933391744 860900087616 1147866783488 1721800175232 3443600350464