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3414432 = 25375081
BaseRepresentation
bin1101000001100110100000
320102110201110
431001212200
51333230212
6201103320
741010420
oct15014640
96373643
103414432
111a2234a
121187b40
13927198
1464c480
15476a3c
hex3419a0

3414432 has 48 divisors (see below), whose sum is σ = 10245312. Its totient is φ = 975360.

The previous prime is 3414427. The next prime is 3414457. The reversal of 3414432 is 2344143.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3414399 and 3414408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1869 + ... + 3212.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 23414432 is an apocalyptic number.

3414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3414432 is an abundant number, since it is smaller than the sum of its proper divisors (6830880).

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

3414432 is a wasteful number, since it uses less digits than its factorization.

3414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5093 counting only the distinct ones).

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

The square root of 3414432 is about 1847.8181728731. The cubic root of 3414432 is about 150.5819173399.

Adding to 3414432 its reverse (2344143), we get a palindrome (5758575).

The spelling of 3414432 in words is "three million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5081 10162 15243 20324 30486 35567 40648 60972 71134 81296 106701 121944 142268 162592 213402 243888 284536 426804 487776 569072 853608 1138144 1707216 3414432