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3493112 = 23731967
BaseRepresentation
bin1101010100110011111000
320120110122112
431110303320
51343234422
6202511452
741456000
oct15246370
96513575
103493112
111a76477
121205588
13953c3c
1466d000
1548eee2
hex354cf8

3493112 has 64 divisors (see below), whose sum is σ = 8160000. Its totient is φ = 1397088.

The previous prime is 3493103. The next prime is 3493121. The reversal of 3493112 is 2113943.

3493112 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3493103) and next prime (3493121).

3493112 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52103 + ... + 52169.

It is an arithmetic number, because the mean of its divisors is an integer number (127500).

Almost surely, 23493112 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 3493112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080000).

3493112 is an abundant number, since it is smaller than the sum of its proper divisors (4666888).

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

3493112 is a wasteful number, since it uses less digits than its factorization.

3493112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 3493112 is about 1868.9868913398. The cubic root of 3493112 is about 151.7297830663.

It can be divided in two parts, 34931 and 12, that added together give a palindrome (34943).

The spelling of 3493112 in words is "three million, four hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 67 76 98 133 134 152 196 266 268 343 392 469 532 536 686 931 938 1064 1273 1372 1862 1876 2546 2744 3283 3724 3752 5092 6517 6566 7448 8911 10184 13034 13132 17822 22981 26068 26264 35644 45962 52136 62377 71288 91924 124754 183848 249508 436639 499016 873278 1746556 3493112