Search a number
-
+
3454416 = 2432723149
BaseRepresentation
bin1101001011010111010000
320111111120100
431023113100
51341020131
6202012400
741235120
oct15132720
96444510
103454416
111a4a399
1211a7100
1393c444
1465cc80
154837e6
hex34b5d0

3454416 has 120 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 937728.

The previous prime is 3454403. The next prime is 3454421. The reversal of 3454416 is 6144543.

3454416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3454416.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23110 + ... + 23258.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 23454416 is an apocalyptic number.

3454416 is a gapful number since it is divisible by the number (36) 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 3454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

3454416 is an abundant number, since it is smaller than the sum of its proper divisors (8151984).

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

3454416 is a wasteful number, since it uses less digits than its factorization.

3454416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3454416 is about 1858.6059291846. The cubic root of 3454416 is about 151.1674239050.

Adding to 3454416 its reverse (6144543), we get a palindrome (9598959).

It can be divided in two parts, 345 and 4416, that added together give a square (4761 = 692).

The spelling of 3454416 in words is "three million, four hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 149 161 168 184 207 252 276 298 322 336 368 414 447 483 504 552 596 644 828 894 966 1008 1043 1104 1192 1288 1341 1449 1656 1788 1932 2086 2384 2576 2682 2898 3129 3312 3427 3576 3864 4172 5364 5796 6258 6854 7152 7728 8344 9387 10281 10728 11592 12516 13708 16688 18774 20562 21456 23184 23989 25032 27416 30843 37548 41124 47978 50064 54832 61686 71967 75096 82248 95956 123372 143934 150192 164496 191912 215901 246744 287868 383824 431802 493488 575736 863604 1151472 1727208 3454416