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32003412 = 22371492557
BaseRepresentation
bin111101000010…
…1010101010100
32020012221102120
41322011111110
531143102122
63101535540
7536011260
oct172052524
966187376
1032003412
1117079701
12a8745b0
136826b3c
1443710a0
152c2275c
hex1e85554

32003412 has 48 divisors (see below), whose sum is σ = 85948800. Its totient is φ = 9078912.

The previous prime is 32003407. The next prime is 32003423. The reversal of 32003412 is 21430023.

It is a junction number, because it is equal to n+sod(n) for n = 32003391 and 32003400.

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, 11238 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (1790600).

Almost surely, 232003412 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 32003412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42974400).

32003412 is an abundant number, since it is smaller than the sum of its proper divisors (53945388).

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

32003412 is a wasteful number, since it uses less digits than its factorization.

32003412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32003412 is about 5657.1558224960. The cubic root of 32003412 is about 317.4914937684.

Adding to 32003412 its reverse (21430023), we get a palindrome (53433435).

The spelling of 32003412 in words is "thirty-two million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 2557 3129 4172 5114 6258 7671 10228 12516 15342 17899 30684 35798 53697 71596 107394 214788 380993 761986 1142979 1523972 2285958 2666951 4571916 5333902 8000853 10667804 16001706 32003412