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3455712 = 253213271
BaseRepresentation
bin1101001011101011100000
320111120100100
431023223200
51341040322
6202022400
741241651
oct15135340
96446310
103455712
111a50367
1211a7a00
1393cc00
1465d528
15483dac
hex34bae0

3455712 has 108 divisors (see below), whose sum is σ = 10791144. Its totient is φ = 1048320.

The previous prime is 3455633. The next prime is 3455719. The reversal of 3455712 is 2175543.

It is a happy number.

3455712 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48637 + ... + 48707.

It is an arithmetic number, because the mean of its divisors is an integer number (99918).

Almost surely, 23455712 is an apocalyptic number.

3455712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395572).

3455712 is an abundant number, since it is smaller than the sum of its proper divisors (7335432).

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

3455712 is a wasteful number, since it uses less digits than its factorization.

3455712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 3455712 is about 1858.9545448988. The cubic root of 3455712 is about 151.1863261339.

The spelling of 3455712 in words is "three million, four hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 169 208 213 234 284 288 312 338 416 426 468 507 568 624 639 676 852 923 936 1014 1136 1248 1278 1352 1521 1704 1846 1872 2028 2272 2556 2704 2769 3042 3408 3692 3744 4056 5112 5408 5538 6084 6816 7384 8112 8307 10224 11076 11999 12168 14768 16224 16614 20448 22152 23998 24336 29536 33228 35997 44304 47996 48672 66456 71994 88608 95992 107991 132912 143988 191984 215982 265824 287976 383968 431964 575952 863928 1151904 1727856 3455712