Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
3401424 = 2432132379
BaseRepresentation
bin1100111110011011010000
320101210212200
430332123100
51332321144
6200523200
740624455
oct14763320
96353780
103401424
111a135a4
121180500
139212a0
1464782c
15472c69
hex33e6d0

3401424 has 120 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 988416.

The previous prime is 3401417. The next prime is 3401443. The reversal of 3401424 is 4241043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3401397 and 3401406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43017 + ... + 43095.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 23401424 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 3401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3401424 is an abundant number, since it is smaller than the sum of its proper divisors (7431216).

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

3401424 is a wasteful number, since it uses less digits than its factorization.

3401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3401424 is about 1844.2949872512. The cubic root of 3401424 is about 150.3904494464.

Adding to 3401424 its reverse (4241043), we get a palindrome (7642467).

It can be divided in two parts, 340 and 1424, that added together give a square (1764 = 422).

The spelling of 3401424 in words is "three million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 79 92 104 117 138 144 156 158 184 207 208 234 237 276 299 312 316 368 414 468 474 552 598 624 632 711 828 897 936 948 1027 1104 1196 1264 1422 1656 1794 1817 1872 1896 2054 2392 2691 2844 3081 3312 3588 3634 3792 4108 4784 5382 5451 5688 6162 7176 7268 8216 9243 10764 10902 11376 12324 14352 14536 16353 16432 18486 21528 21804 23621 24648 29072 32706 36972 43056 43608 47242 49296 65412 70863 73944 87216 94484 130824 141726 147888 188968 212589 261648 283452 377936 425178 566904 850356 1133808 1700712 3401424