Search a number
-
+
3493984 = 251337227
BaseRepresentation
bin1101010101000001100000
320120111211211
431111001200
51343301414
6202515504
741461354
oct15250140
96514754
103493984
111a7709a
121205b94
13954460
1466d464
154903c4
hex355060

3493984 has 48 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 1562112.

The previous prime is 3493961. The next prime is 3494009. The reversal of 3493984 is 4893943.

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, 15279 + ... + 15505.

It is an arithmetic number, because the mean of its divisors is an integer number (159201).

Almost surely, 23493984 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 3493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824).

3493984 is an abundant number, since it is smaller than the sum of its proper divisors (4147664).

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

3493984 is a wasteful number, since it uses less digits than its factorization.

3493984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 3493984 is about 1869.2201582478. The cubic root of 3493984 is about 151.7424076603.

The spelling of 3493984 in words is "three million, four hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 227 296 416 454 481 592 908 962 1184 1816 1924 2951 3632 3848 5902 7264 7696 8399 11804 15392 16798 23608 33596 47216 67192 94432 109187 134384 218374 268768 436748 873496 1746992 3493984