Search a number
-
+
3468528 = 243373137
BaseRepresentation
bin1101001110110011110000
320112012221000
431032303300
51341443103
6202202000
741324220
oct15166360
96465830
103468528
111a59a58
1211b3300
139459ab
14664080
15487aa3
hex34ecf0

3468528 has 160 divisors (see below), whose sum is σ = 12062720. Its totient is φ = 933120.

The previous prime is 3468511. The next prime is 3468533. The reversal of 3468528 is 8258643.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3468492 and 3468501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93726 + ... + 93762.

It is an arithmetic number, because the mean of its divisors is an integer number (75392).

Almost surely, 23468528 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 3468528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031360).

3468528 is an abundant number, since it is smaller than the sum of its proper divisors (8594192).

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

3468528 is a wasteful number, since it uses less digits than its factorization.

3468528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

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

The square root of 3468528 is about 1862.3984536076. The cubic root of 3468528 is about 151.3729942344.

The spelling of 3468528 in words is "three million, four hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 37 42 48 54 56 62 63 72 74 84 93 108 111 112 124 126 144 148 168 186 189 216 217 222 248 252 259 279 296 333 336 372 378 432 434 444 496 504 518 558 592 651 666 744 756 777 837 868 888 999 1008 1036 1116 1147 1302 1332 1488 1512 1554 1674 1736 1776 1953 1998 2072 2232 2294 2331 2604 2664 3024 3108 3348 3441 3472 3906 3996 4144 4464 4588 4662 5208 5328 5859 6216 6696 6882 6993 7812 7992 8029 9176 9324 10323 10416 11718 12432 13392 13764 13986 15624 15984 16058 18352 18648 20646 23436 24087 27528 27972 30969 31248 32116 37296 41292 46872 48174 55056 55944 61938 64232 72261 82584 93744 96348 111888 123876 128464 144522 165168 192696 216783 247752 289044 385392 433566 495504 578088 867132 1156176 1734264 3468528