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643465134 = 234132191237
BaseRepresentation
bin100110010110100…
…111111110101110
31122211210102020000
4212112213332232
52304211341014
6143503405130
721642235434
oct4626477656
91584712200
10643465134
11300245974
1215b5b37a6
13a3406700
146165cd54
153b756509
hex265a7fae

643465134 has 120 divisors (see below), whose sum is σ = 1644782040. Its totient is φ = 187417152.

The previous prime is 643465127. The next prime is 643465139. The reversal of 643465134 is 431564346.

643465134 is a `hidden beast` number, since 64 + 3 + 465 + 134 = 666.

Its product of digits (103680) is a multiple of the sum of its prime factors (1296).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643465139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 519564 + ... + 520800.

It is an arithmetic number, because the mean of its divisors is an integer number (13706517).

Almost surely, 2643465134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643465134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822391020).

643465134 is an abundant number, since it is smaller than the sum of its proper divisors (1001316906).

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

643465134 is a wasteful number, since it uses less digits than its factorization.

643465134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1274 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 643465134 is about 25366.6145553560. The cubic root of 643465134 is about 863.3263701861.

The spelling of 643465134 in words is "six hundred forty-three million, four hundred sixty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1053 1237 1482 1521 1539 2106 2223 2474 3042 3078 3211 3711 4446 4563 6422 6669 7422 9126 9633 11133 13338 13689 16081 19266 20007 22266 23503 27378 28899 32162 33399 40014 47006 48243 57798 66798 70509 86697 96486 100197 141018 144729 173394 200394 209053 211527 260091 289458 305539 418106 423054 434187 520182 611078 627159 634581 868374 916617 1254318 1269162 1302561 1833234 1881477 1903743 2605122 2749851 3762954 3807486 3972007 5499702 5644431 7944014 8249553 11288862 11916021 16499106 16933293 23832042 24748659 33866586 35748063 49497318 71496126 107244189 214488378 321732567 643465134