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389328480 = 25325299323
BaseRepresentation
bin10111001101001…
…010111001100000
31000010120221021100
4113031022321200
51244132002410
6102344354400
712435144312
oct2715127140
91003527240
10389328480
1118a847282
12aa475a00
13628761a8
14399c77b2
15242a68c0
hex1734ae60

389328480 has 144 divisors (see below), whose sum is σ = 1374544080. Its totient is φ = 100230144.

The previous prime is 389328469. The next prime is 389328517. The reversal of 389328480 is 84823983.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3893284802 = 303153330678220800, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37099 + ... + 46421.

It is an arithmetic number, because the mean of its divisors is an integer number (9545445).

Almost surely, 2389328480 is an apocalyptic number.

389328480 is a gapful number since it is divisible by the number (30) 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 389328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687272040).

389328480 is an abundant number, since it is smaller than the sum of its proper divisors (985215600).

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

389328480 is a wasteful number, since it uses less digits than its factorization.

389328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 389328480 is about 19731.4084646788. The cubic root of 389328480 is about 730.1947813252.

The spelling of 389328480 in words is "three hundred eighty-nine million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 9323 10440 13920 18646 20880 27969 37292 41760 46615 55938 74584 83907 93230 111876 139845 149168 167814 186460 223752 270367 279690 298336 335628 372920 419535 447504 540734 559380 671256 745840 811101 839070 895008 1081468 1118760 1342512 1351835 1491680 1622202 1678140 2162936 2237520 2433303 2685024 2703670 3244404 3356280 4055505 4325872 4475040 4866606 5407340 6488808 6712560 8111010 8651744 9733212 10814680 12166515 12977616 13425120 16222020 19466424 21629360 24333030 25955232 32444040 38932848 43258720 48666060 64888080 77865696 97332120 129776160 194664240 389328480