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389936430 = 234513191949
BaseRepresentation
bin10111001111011…
…111010100101110
31000011201211020000
4113033133110232
51244310431210
6102405405130
712443255622
oct2717372456
91004654200
10389936430
11190122014
12aa7097a6
1362a29b20
1439b05182
1524376ac0
hex173df52e

389936430 has 160 divisors (see below), whose sum is σ = 1189188000. Its totient is φ = 90885888.

The previous prime is 389936401. The next prime is 389936441. The reversal of 389936430 is 34639983.

It is a super-2 number, since 2×3899364302 = 304100838882289800, which contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199096 + ... + 201044.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2389936430 is an apocalyptic number.

389936430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 389936430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594594000).

389936430 is an abundant number, since it is smaller than the sum of its proper divisors (799251570).

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

389936430 is a wasteful number, since it uses less digits than its factorization.

389936430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 389936430 is about 19746.8080965001. The cubic root of 389936430 is about 730.5746585358.

The spelling of 389936430 in words is "three hundred eighty-nine million, nine hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 702 741 810 855 1026 1053 1170 1235 1482 1539 1710 1755 1949 2106 2223 2470 2565 3078 3510 3705 3898 4446 5130 5265 5847 6669 7410 7695 9745 10530 11115 11694 13338 15390 17541 19490 20007 22230 25337 29235 33345 35082 37031 40014 50674 52623 58470 66690 74062 76011 87705 100035 105246 111093 126685 152022 157869 175410 185155 200070 222186 228033 253370 263115 315738 333279 370310 380055 456066 481403 526230 555465 666558 684099 760110 789345 962806 999837 1110930 1140165 1368198 1444209 1578690 1666395 1999674 2052297 2280330 2407015 2888418 2999511 3332790 3420495 4104594 4332627 4814030 4999185 5999022 6840990 7221045 8665254 9998370 10261485 12997881 14442090 14997555 20522970 21663135 25995762 29995110 38993643 43326270 64989405 77987286 129978810 194968215 389936430