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3480736 = 25741379
BaseRepresentation
bin1101010001110010100000
320112211200011
431101302200
51342340421
6202334304
741404630
oct15216240
96484604
103480736
111a68146
1211ba394
1394b40c
146686c0
1548b4e1
hex351ca0

3480736 has 48 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 1451520.

The previous prime is 3480727. The next prime is 3480749. The reversal of 3480736 is 6370843.

It is a junction number, because it is equal to n+sod(n) for n = 3480698 and 3480707.

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, 8995 + ... + 9373.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 23480736 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 3480736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

3480736 is an abundant number, since it is smaller than the sum of its proper divisors (4563104).

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

3480736 is a wasteful number, since it uses less digits than its factorization.

3480736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3480736 is about 1865.6730688950. The cubic root of 3480736 is about 151.5503795388.

It can be divided in two parts, 34807 and 36, that added together give a palindrome (34843).

The spelling of 3480736 in words is "three million, four hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 379 574 656 758 1148 1312 1516 2296 2653 3032 4592 5306 6064 9184 10612 12128 15539 21224 31078 42448 62156 84896 108773 124312 217546 248624 435092 497248 870184 1740368 3480736