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234734436 = 223417192243
BaseRepresentation
bin11011111110111…
…00001101100100
3121100200202010000
431333130031210
5440043000221
635143101300
75550131646
oct1577341544
9540622100
10234734436
11110557502
1266741830
1339829221
1423264896
151591ae26
hexdfdc364

234734436 has 120 divisors (see below), whose sum is σ = 684240480. Its totient is φ = 69735168.

The previous prime is 234734431. The next prime is 234734459. The reversal of 234734436 is 634437432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234734436.

It is not an unprimeable number, because it can be changed into a prime (234734431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103531 + ... + 105773.

It is an arithmetic number, because the mean of its divisors is an integer number (5702004).

Almost surely, 2234734436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234734436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342120240).

234734436 is an abundant number, since it is smaller than the sum of its proper divisors (449506044).

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

234734436 is a wasteful number, since it uses less digits than its factorization.

234734436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2284 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 234734436 is about 15321.0455256813. The cubic root of 234734436 is about 616.8680381879.

The spelling of 234734436 in words is "two hundred thirty-four million, seven hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1539 1836 1938 2052 2243 2754 2907 3078 3876 4486 5508 5814 6156 6729 8721 8972 11628 13458 17442 20187 26163 26916 34884 38131 40374 42617 52326 60561 76262 80748 85234 104652 114393 121122 127851 152524 170468 181683 228786 242244 255702 343179 363366 383553 457572 511404 686358 724489 726732 767106 1029537 1150659 1372716 1448978 1534212 2059074 2173467 2301318 2897956 3088611 3451977 4118148 4346934 4602636 6177222 6520401 6903954 8693868 12354444 13040802 13807908 19561203 26081604 39122406 58683609 78244812 117367218 234734436