Search a number
-
+
383425920 = 2733522189
BaseRepresentation
bin10110110110101…
…001110110000000
3222201111001111000
4112312221312000
51241124112140
6102014052000
712334031553
oct2666516600
9881431430
10383425920
11187485629
12a84aa000
136158a657
1438ccc69a
15239dca30
hex16da9d80

383425920 has 128 divisors (see below), whose sum is σ = 1358028000. Its totient is φ = 102242304.

The previous prime is 383425919. The next prime is 383425937. The reversal of 383425920 is 29524383.

383425920 is a `hidden beast` number, since 38 + 34 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3834259202 = 294030872255692800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186 + ... + 28374.

Almost surely, 2383425920 is an apocalyptic number.

383425920 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 383425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679014000).

383425920 is an abundant number, since it is smaller than the sum of its proper divisors (974602080).

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

383425920 is a wasteful number, since it uses less digits than its factorization.

383425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22217 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 383425920 is about 19581.2645148366. The cubic root of 383425920 is about 726.4858437753.

The spelling of 383425920 in words is "three hundred eighty-three million, four hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 22189 44378 66567 88756 110945 133134 177512 199701 221890 266268 332835 355024 399402 443780 532536 599103 665670 710048 798804 887560 998505 1065072 1198206 1331340 1420096 1597608 1775120 1997010 2130144 2396412 2662680 2840192 2995515 3195216 3550240 3994020 4260288 4792824 5325360 5991030 6390432 7100480 7988040 8520576 9585648 10650720 11982060 12780864 14200960 15976080 19171296 21301440 23964120 25561728 31952160 38342592 42602880 47928240 63904320 76685184 95856480 127808640 191712960 383425920