Search a number
-
+
3357424 = 24731967
BaseRepresentation
bin1100110011101011110000
320022120112001
430303223300
51324414144
6155543344
740352260
oct14635360
96276461
103357424
111993534
12115ab54
13907255
146357a0
15464bd4
hex333af0

3357424 has 40 divisors (see below), whose sum is σ = 7682048. Its totient is φ = 1391040.

The previous prime is 3357413. The next prime is 3357439. The reversal of 3357424 is 4247533.

It is a super-2 number, since 2×33574242 = 22544591831552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3357392 and 3357401.

It is a congruent number.

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, 2989 + ... + 3955.

Almost surely, 23357424 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 3357424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841024).

3357424 is an abundant number, since it is smaller than the sum of its proper divisors (4324624).

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

3357424 is a wasteful number, since it uses less digits than its factorization.

3357424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its digits is 10080, while the sum is 28.

The square root of 3357424 is about 1832.3274816473. The cubic root of 3357424 is about 149.7391614996.

The spelling of 3357424 in words is "three million, three hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 967 1736 1934 3472 3868 6769 7736 13538 15472 27076 29977 54152 59954 108304 119908 209839 239816 419678 479632 839356 1678712 3357424