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438934680 = 23335547743
BaseRepresentation
bin11010001010011…
…001110010011000
31010120221012012000
4122022121302120
51344331402210
6111315521000
713606611642
oct3212316230
91116835160
10438934680
11205849138
12102bb9160
136cc24282
144241b892
1528804ac0
hex1a299c98

438934680 has 128 divisors (see below), whose sum is σ = 1467763200. Its totient is φ = 116678016.

The previous prime is 438934667. The next prime is 438934693. The reversal of 438934680 is 86439834.

It is an interprime number because it is at equal distance from previous prime (438934667) and next prime (438934693).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590389 + ... + 591131.

It is an arithmetic number, because the mean of its divisors is an integer number (11466900).

Almost surely, 2438934680 is an apocalyptic number.

438934680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733881600).

438934680 is an abundant number, since it is smaller than the sum of its proper divisors (1028828520).

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

438934680 is a wasteful number, since it uses less digits than its factorization.

438934680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 438934680 is about 20950.7680050159. The cubic root of 438934680 is about 759.9761534531.

The spelling of 438934680 in words is "four hundred thirty-eight million, nine hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 547 743 1080 1094 1486 1641 2188 2229 2735 2972 3282 3715 4376 4458 4923 5470 5944 6564 6687 7430 8205 8916 9846 10940 11145 13128 13374 14769 14860 16410 17832 19692 20061 21880 22290 24615 26748 29538 29720 32820 33435 39384 40122 44580 49230 53496 59076 65640 66870 73845 80244 89160 98460 100305 118152 133740 147690 160488 196920 200610 267480 295380 401220 406421 590760 802440 812842 1219263 1625684 2032105 2438526 3251368 3657789 4064210 4877052 6096315 7315578 8128420 9754104 10973367 12192630 14631156 16256840 18288945 21946734 24385260 29262312 36577890 43893468 48770520 54866835 73155780 87786936 109733670 146311560 219467340 438934680