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383485104 = 2435531861
BaseRepresentation
bin10110110110111…
…000010010110000
3222201121001200000
4112312320102300
51241133010404
6102015230000
712334366242
oct2666702260
9881531600
10383485104
11187516042
12a8518300
13615ab582
1438d06092
1523a00339
hex16db84b0

383485104 has 120 divisors (see below), whose sum is σ = 1134583632. Its totient is φ = 125349120.

The previous prime is 383485033. The next prime is 383485117. The reversal of 383485104 is 401584383.

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

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, 205134 + ... + 206994.

Almost surely, 2383485104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567291816).

383485104 is an abundant number, since it is smaller than the sum of its proper divisors (751098528).

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

383485104 is a wasteful number, since it uses less digits than its factorization.

383485104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 383485104 is about 19582.7756970252. The cubic root of 383485104 is about 726.5232209442.

The spelling of 383485104 in words is "three hundred eighty-three million, four hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 848 954 972 1272 1296 1431 1861 1908 1944 2544 2862 3722 3816 3888 4293 5583 5724 7444 7632 8586 11166 11448 12879 14888 16749 17172 22332 22896 25758 29776 33498 34344 44664 50247 51516 66996 68688 89328 98633 100494 103032 133992 150741 197266 200988 206064 267984 295899 301482 394532 401976 452223 591798 602964 789064 803952 887697 904446 1183596 1205928 1578128 1775394 1808892 2367192 2411856 2663091 3550788 3617784 4734384 5326182 7101576 7235568 7989273 10652364 14203152 15978546 21304728 23967819 31957092 42609456 47935638 63914184 95871276 127828368 191742552 383485104