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385674720 = 25353125919
BaseRepresentation
bin10110111111001…
…110110111100000
3222212201022020220
4112333032313200
51242213042340
6102134203040
712362116044
oct2677166740
9885638226
10385674720
11188781142
12a91b3480
1361b970c2
1439316024
1523cd3ed0
hex16fcede0

385674720 has 96 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 99525120.

The previous prime is 385674691. The next prime is 385674721. The reversal of 385674720 is 27476583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385674721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921 + ... + 27839.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2385674720 is an apocalyptic number.

385674720 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 385674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

385674720 is an abundant number, since it is smaller than the sum of its proper divisors (868438560).

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

385674720 is a wasteful number, since it uses less digits than its factorization.

385674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25968 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 385674720 is about 19638.6028016252. The cubic root of 385674720 is about 727.9033603556.

The spelling of 385674720 in words is "three hundred eighty-five million, six hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 25919 51838 77757 103676 129595 155514 207352 259190 311028 388785 414704 518380 622056 777570 803489 829408 1036760 1244112 1555140 1606978 2073520 2410467 2488224 3110280 3213956 4017445 4147040 4820934 6220560 6427912 8034890 9641868 12052335 12441120 12855824 16069780 19283736 24104670 25711648 32139560 38567472 48209340 64279120 77134944 96418680 128558240 192837360 385674720