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134432430 = 235111731773
BaseRepresentation
bin10000000001101…
…00011010101110
3100100221212121220
420000310122232
5233403314210
621201204210
73221441166
oct1000643256
9310855556
10134432430
116997a090
1239030666
1321b0b122
1413bd55a6
15bc06c70
hex80346ae

134432430 has 128 divisors (see below), whose sum is σ = 385191936. Its totient is φ = 29644800.

The previous prime is 134432411. The next prime is 134432449. The reversal of 134432430 is 34234431.

It is an interprime number because it is at equal distance from previous prime (134432411) and next prime (134432449).

It is a self number, because there is not a number n which added to its sum of digits gives 134432430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173524 + ... + 174296.

It is an arithmetic number, because the mean of its divisors is an integer number (3009312).

Almost surely, 2134432430 is an apocalyptic number.

134432430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11594×11595.

It is a practical number, because each smaller number is the sum of distinct divisors of 134432430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192595968).

134432430 is an abundant number, since it is smaller than the sum of its proper divisors (250759506).

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

134432430 is a wasteful number, since it uses less digits than its factorization.

134432430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 134432430 is about 11594.4999892190. The cubic root of 134432430 is about 512.2728622673.

Adding to 134432430 its reverse (34234431), we get a palindrome (168666861).

The spelling of 134432430 in words is "one hundred thirty-four million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 31 33 34 51 55 62 66 85 93 102 110 155 165 170 186 187 255 310 330 341 374 465 510 527 561 682 773 930 935 1023 1054 1122 1546 1581 1705 1870 2046 2319 2635 2805 3162 3410 3865 4638 5115 5270 5610 5797 7730 7905 8503 10230 11594 11595 13141 15810 17006 17391 23190 23963 25509 26282 28985 34782 39423 42515 47926 51018 57970 65705 71889 78846 85030 86955 119815 127545 131410 143778 144551 173910 197115 239630 255090 263593 289102 359445 394230 407371 433653 527186 718890 722755 790779 814742 867306 1222113 1317965 1445510 1581558 2036855 2168265 2444226 2635930 3953895 4073710 4336530 4481081 6110565 7907790 8962162 12221130 13443243 22405405 26886486 44810810 67216215 134432430