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34432041 = 3731227233
BaseRepresentation
bin1000001101011…
…0010000101001
32101210022212210
42003112100221
532303311131
63225555333
7565444650
oct203262051
971708783
1034432041
1118488336
12b645b49
1371973b7
144804197
153052146
hex20d6429

34432041 has 32 divisors (see below), whose sum is σ = 54632448. Its totient is φ = 18875520.

The previous prime is 34432031. The next prime is 34432043. The reversal of 34432041 is 14023443.

It is not a de Polignac number, because 34432041 - 26 = 34431977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34431999 and 34432017.

It is not an unprimeable number, because it can be changed into a prime (34432043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147661 + ... + 147893.

It is an arithmetic number, because the mean of its divisors is an integer number (1707264).

Almost surely, 234432041 is an apocalyptic number.

34432041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34432041 is a deficient number, since it is larger than the sum of its proper divisors (20200407).

34432041 is a wasteful number, since it uses less digits than its factorization.

34432041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34432041 is about 5867.8821562809. The cubic root of 34432041 is about 325.3276096882.

Adding to 34432041 its reverse (14023443), we get a palindrome (48455484).

It can be divided in two parts, 344 and 32041, that added together give a triangular number (32385 = T254).

The spelling of 34432041 in words is "thirty-four million, four hundred thirty-two thousand, forty-one".

Divisors: 1 3 7 21 31 93 217 227 233 651 681 699 1589 1631 4767 4893 7037 7223 21111 21669 49259 50561 52891 147777 151683 158673 370237 1110711 1639621 4918863 11477347 34432041