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4343135104 = 27711676577
BaseRepresentation
bin1000000101101111…
…01111101110000000
3102012200101010022201
410002313233232000
532343320310404
61554544242544
7212425016320
oct40267575600
912180333281
104343135104
11192964a760
12a12610454
13542a43039
142d2b55280
151a6454ca4
hex102defb80

4343135104 has 128 divisors (see below), whose sum is σ = 10950001920. Its totient is φ = 1666621440.

The previous prime is 4343135101. The next prime is 4343135131. The reversal of 4343135104 is 4015313434.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4343135101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657064 + ... + 663640.

It is an arithmetic number, because the mean of its divisors is an integer number (85546890).

Almost surely, 24343135104 is an apocalyptic number.

4343135104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4343135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475000960).

4343135104 is an abundant number, since it is smaller than the sum of its proper divisors (6606866816).

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

4343135104 is a wasteful number, since it uses less digits than its factorization.

4343135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4343135104 is about 65902.4666002723. The cubic root of 4343135104 is about 1631.5527256924.

Adding to 4343135104 its reverse (4015313434), we get a palindrome (8358448538).

The spelling of 4343135104 in words is "four billion, three hundred forty-three million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 67 77 88 112 128 134 154 176 224 268 308 352 448 469 536 616 704 737 896 938 1072 1232 1408 1474 1876 2144 2464 2948 3752 4288 4928 5159 5896 6577 7504 8576 9856 10318 11792 13154 15008 20636 23584 26308 30016 41272 46039 47168 52616 60032 72347 82544 92078 94336 105232 144694 165088 184156 210464 289388 330176 368312 420928 440659 506429 578776 660352 736624 841856 881318 1012858 1157552 1473248 1762636 2025716 2315104 2946496 3084613 3525272 4051432 4630208 4847249 5892992 6169226 7050544 8102864 9260416 9694498 12338452 14101088 16205728 19388996 24676904 28202176 32411456 33930743 38777992 49353808 56404352 64822912 67861486 77555984 98707616 135722972 155111968 197415232 271445944 310223936 394830464 542891888 620447872 1085783776 2171567552 4343135104