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40201434 = 237713101
BaseRepresentation
bin1001100101011…
…0110011011010
32210122110000000
42121112303122
540242421214
63553353430
7665464230
oct231266332
983573000
1040201434
1120768a29
1211568876
138437440
1454a6950
1537e1809
hex2656cda

40201434 has 128 divisors (see below), whose sum is σ = 112412160. Its totient is φ = 10497600.

The previous prime is 40201429. The next prime is 40201439. The reversal of 40201434 is 43410204.

It is an interprime number because it is at equal distance from previous prime (40201429) and next prime (40201439).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40201439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397984 + ... + 398084.

It is an arithmetic number, because the mean of its divisors is an integer number (878220).

Almost surely, 240201434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40201434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56206080).

40201434 is an abundant number, since it is smaller than the sum of its proper divisors (72210726).

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

40201434 is a wasteful number, since it uses less digits than its factorization.

40201434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40201434 is about 6340.4600779439. The cubic root of 40201434 is about 342.5683071888.

Adding to 40201434 its reverse (43410204), we get a palindrome (83611638).

The spelling of 40201434 in words is "forty million, two hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 101 117 126 162 182 189 202 234 243 273 303 351 378 486 546 567 606 702 707 729 819 909 1053 1134 1313 1414 1458 1638 1701 1818 2106 2121 2187 2457 2626 2727 3159 3402 3939 4242 4374 4914 5103 5454 6318 6363 7371 7878 8181 9191 9477 10206 11817 12726 14742 15309 16362 18382 18954 19089 22113 23634 24543 27573 28431 30618 35451 38178 44226 49086 55146 56862 57267 66339 70902 73629 82719 106353 114534 132678 147258 165438 171801 199017 212706 220887 248157 319059 343602 398034 441774 496314 515403 638118 744471 957177 1030806 1488942 1546209 1914354 2233413 2871531 3092418 4466826 5743062 6700239 13400478 20100717 40201434