Search a number
-
+
3412464 = 2431123281
BaseRepresentation
bin1101000001000111110000
320102101000120
431001013300
51333144324
6201050240
741001606
oct15010760
96371016
103412464
111a20920
121186980
13926313
1464b876
15476179
hex3411f0

3412464 has 80 divisors (see below), whose sum is σ = 10070784. Its totient is φ = 985600.

The previous prime is 3412439. The next prime is 3412469. The reversal of 3412464 is 4642143.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12004 + ... + 12284.

Almost surely, 23412464 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 3412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035392).

3412464 is an abundant number, since it is smaller than the sum of its proper divisors (6658320).

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

3412464 is a wasteful number, since it uses less digits than its factorization.

3412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3412464 is about 1847.2855761901. The cubic root of 3412464 is about 150.5529811296.

The spelling of 3412464 in words is "three million, four hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 281 368 506 528 552 562 759 843 1012 1104 1124 1518 1686 2024 2248 3036 3091 3372 4048 4496 6072 6182 6463 6744 9273 12144 12364 12926 13488 18546 19389 24728 25852 37092 38778 49456 51704 71093 74184 77556 103408 142186 148368 155112 213279 284372 310224 426558 568744 853116 1137488 1706232 3412464