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3412031232 = 28323193163
BaseRepresentation
bin1100101101011111…
…0111011100000000
322210210100010221010
43023113313130000
523441434444412
61322323400520
7150360533631
oct31327673400
98723303833
103412031232
1114a1003625
127b2823140
13424b790bc
1424521d888
1514e83233c
hexcb5f7700

3412031232 has 72 divisors (see below), whose sum is σ = 9475853184. Its totient is φ = 1087888384.

The previous prime is 3412031201. The next prime is 3412031237. The reversal of 3412031232 is 2321302143.

It is a junction number, because it is equal to n+sod(n) for n = 3412031199 and 3412031208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412031237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78918 + ... + 114245.

It is an arithmetic number, because the mean of its divisors is an integer number (131609072).

Almost surely, 23412031232 is an apocalyptic number.

3412031232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3412031232 is an abundant number, since it is smaller than the sum of its proper divisors (6063821952).

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

3412031232 is a wasteful number, since it uses less digits than its factorization.

3412031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193205 (or 193191 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3412031232 is about 58412.5948062573. The cubic root of 3412031232 is about 1505.4661649423.

Adding to 3412031232 its reverse (2321302143), we get a palindrome (5733333375).

The spelling of 3412031232 in words is "three billion, four hundred twelve million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 193163 386326 579489 772652 1158978 1545304 2317956 3090608 4442749 4635912 6181216 8885498 9271824 12362432 13328247 17770996 18543648 24724864 26656494 35541992 37087296 49449728 53312988 71083984 74174592 106625976 142167968 148349184 213251952 284335936 426503904 568671872 853007808 1137343744 1706015616 3412031232