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3493152 = 253313311
BaseRepresentation
bin1101010100110100100000
320120110201000
431110310200
51343240102
6202512000
741456055
oct15246440
96513630
103493152
111a76503
121205600
13953c70
1466d02c
1549001c
hex354d20

3493152 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1071360.

The previous prime is 3493151. The next prime is 3493163. The reversal of 3493152 is 2513943.

3493152 is a `hidden beast` number, since 349 + 315 + 2 = 666.

3493152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34931522 = 24404221790208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3493151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11077 + ... + 11387.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 23493152 is an apocalyptic number.

3493152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3493152 is an abundant number, since it is smaller than the sum of its proper divisors (7514208).

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

3493152 is a wasteful number, since it uses less digits than its factorization.

3493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3493152 is about 1868.9975922938. The cubic root of 3493152 is about 151.7303622221.

The spelling of 3493152 in words is "three million, four hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 311 312 351 416 432 468 622 624 702 864 933 936 1244 1248 1404 1866 1872 2488 2799 2808 3732 3744 4043 4976 5598 5616 7464 8086 8397 9952 11196 11232 12129 14928 16172 16794 22392 24258 29856 32344 33588 36387 44784 48516 64688 67176 72774 89568 97032 109161 129376 134352 145548 194064 218322 268704 291096 388128 436644 582192 873288 1164384 1746576 3493152