Search a number
-
+
403841328 = 243113831997
BaseRepresentation
bin11000000100100…
…010000100110000
31001010220021011020
4120010202010300
51311340410303
6104023415440
713002410652
oct3004420460
91033807136
10403841328
11197a59a70
12b32b4580
1365887b87
143b8c46d2
15256c1a53
hex18122130

403841328 has 80 divisors (see below), whose sum is σ = 1141641216. Its totient is φ = 121995520.

The previous prime is 403841323. The next prime is 403841353. The reversal of 403841328 is 823148304.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (403841323) 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, 201226 + ... + 203222.

Almost surely, 2403841328 is an apocalyptic number.

403841328 is a gapful number since it is divisible by the number (48) 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 403841328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570820608).

403841328 is an abundant number, since it is smaller than the sum of its proper divisors (737799888).

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

403841328 is a wasteful number, since it uses less digits than its factorization.

403841328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 403841328 is about 20095.8037410799. The cubic root of 403841328 is about 739.1573851953.

The spelling of 403841328 in words is "four hundred three million, eight hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 383 528 766 1149 1532 1997 2298 3064 3994 4213 4596 5991 6128 7988 8426 9192 11982 12639 15976 16852 18384 21967 23964 25278 31952 33704 43934 47928 50556 65901 67408 87868 95856 101112 131802 175736 202224 263604 351472 527208 764851 1054416 1529702 2294553 3059404 4589106 6118808 8413361 9178212 12237616 16826722 18356424 25240083 33653444 36712848 50480166 67306888 100960332 134613776 201920664 403841328