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643111434 = 23374753683
BaseRepresentation
bin100110010101010…
…001101000001010
31122211010110001000
4212111101220022
52304114031214
6143452035430
721636233310
oct4625215012
91584113030
10643111434
11300024159
1215b462b76
13a3311714
14615aa0b0
153b6d6809
hex26551a0a

643111434 has 128 divisors (see below), whose sum is σ = 1702010880. Its totient is φ = 176185152.

The previous prime is 643111423. The next prime is 643111451. The reversal of 643111434 is 434111346.

643111434 is a `hidden beast` number, since 643 + 1 + 1 + 14 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 643111398 and 643111407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941257 + ... + 941939.

It is an arithmetic number, because the mean of its divisors is an integer number (13296960).

Almost surely, 2643111434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643111434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851005440).

643111434 is an abundant number, since it is smaller than the sum of its proper divisors (1058899446).

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

643111434 is a wasteful number, since it uses less digits than its factorization.

643111434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 643111434 is about 25359.6418350102. The cubic root of 643111434 is about 863.1681567425.

It can be divided in two parts, 643111 and 434, that added together give a triangular number (643545 = T1134).

The spelling of 643111434 in words is "six hundred forty-three million, one hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 53 54 63 94 106 126 141 159 189 282 318 329 371 378 423 477 658 683 742 846 954 987 1113 1269 1366 1431 1974 2049 2226 2491 2538 2862 2961 3339 4098 4781 4982 5922 6147 6678 7473 8883 9562 10017 12294 14343 14946 17437 17766 18441 20034 22419 28686 32101 34874 36199 36882 43029 44838 52311 64202 67257 72398 86058 96303 104622 108597 129087 134514 156933 192606 217194 224707 253393 258174 288909 313866 325791 449414 470799 506786 577818 651582 674121 760179 866727 941598 977373 1348242 1520358 1701353 1733454 1954746 2022363 2280537 3402706 4044726 4561074 5104059 6067089 6841611 10208118 11909471 12134178 13683222 15312177 23818942 30624354 35728413 45936531 71456826 91873062 107185239 214370478 321555717 643111434