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3494016 = 2734337
BaseRepresentation
bin1101010101000010000000
320120111220000
431111002000
51343302031
6202520000
741461431
oct15250200
96514800
103494016
111a77119
121206000
13954486
1466d488
154903e6
hex355080

3494016 has 80 divisors (see below), whose sum is σ = 10428990. Its totient is φ = 1161216.

The previous prime is 3494011. The next prime is 3494017. The reversal of 3494016 is 6104943.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 254016 = 1800^2 + 504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10200 + ... + 10536.

Almost surely, 23494016 is an apocalyptic number.

3494016 is a gapful number since it is divisible by the number (36) 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 3494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214495).

3494016 is an abundant number, since it is smaller than the sum of its proper divisors (6934974).

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

3494016 is an equidigital number, since it uses as much as digits as its factorization.

3494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3494016 is about 1869.2287179476. The cubic root of 3494016 is about 151.7428709082.

Adding to 3494016 its reverse (6104943), we get a palindrome (9598959).

The spelling of 3494016 in words is "three million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 337 384 432 576 648 674 864 1011 1152 1296 1348 1728 2022 2592 2696 3033 3456 4044 5184 5392 6066 8088 9099 10368 10784 12132 16176 18198 21568 24264 27297 32352 36396 43136 48528 54594 64704 72792 97056 109188 129408 145584 194112 218376 291168 388224 436752 582336 873504 1164672 1747008 3494016