Search a number
-
+
3428568 = 2334111337
BaseRepresentation
bin1101000101000011011000
320110012010000
431011003120
51334203233
6201253000
741066553
oct15050330
96405100
103428568
111a31a30
121194160
13930750
1465369a
1547ad13
hex3450d8

3428568 has 160 divisors (see below), whose sum is σ = 11586960. Its totient is φ = 933120.

The previous prime is 3428567. The next prime is 3428573. The reversal of 3428568 is 8658243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92646 + ... + 92682.

Almost surely, 23428568 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 3428568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793480).

3428568 is an abundant number, since it is smaller than the sum of its proper divisors (8158392).

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

3428568 is a wasteful number, since it uses less digits than its factorization.

3428568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3428568 is about 1851.6392737248. The cubic root of 3428568 is about 150.7894379627.

The spelling of 3428568 in words is "three million, four hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 37 39 44 52 54 66 72 74 78 81 88 99 104 108 111 117 132 143 148 156 162 198 216 222 234 264 286 296 297 312 324 333 351 396 407 429 444 468 481 572 594 648 666 702 792 814 858 888 891 936 962 999 1053 1144 1188 1221 1287 1332 1404 1443 1628 1716 1782 1924 1998 2106 2376 2442 2574 2664 2808 2886 2997 3256 3432 3564 3663 3848 3861 3996 4212 4329 4884 5148 5291 5772 5994 7128 7326 7722 7992 8424 8658 9768 10296 10582 10989 11544 11583 11988 12987 14652 15444 15873 17316 21164 21978 23166 23976 25974 29304 30888 31746 32967 34632 38961 42328 43956 46332 47619 51948 63492 65934 77922 87912 92664 95238 103896 126984 131868 142857 155844 190476 263736 285714 311688 380952 428571 571428 857142 1142856 1714284 3428568