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3379712 = 2972341
BaseRepresentation
bin1100111001001000000000
320100201002112
430321020000
51331122322
6200234452
740504250
oct14711000
96321075
103379712
1119a9256
12116ba28
1391443b
1463d960
1546b5e2
hex339200

3379712 has 80 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 1351680.

The previous prime is 3379709. The next prime is 3379721. The reversal of 3379712 is 2179733.

Added to its reverse (2179733) it gives a triangular number (5559445 = T3334).

It is a super-2 number, since 2×33797122 = 22844906405888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82412 + ... + 82452.

Almost surely, 23379712 is an apocalyptic number.

3379712 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 3379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

3379712 is an abundant number, since it is smaller than the sum of its proper divisors (4869760).

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

3379712 is an equidigital number, since it uses as much as digits as its factorization.

3379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its digits is 7938, while the sum is 32.

The square root of 3379712 is about 1838.3993037423. The cubic root of 3379712 is about 150.0697749454.

Adding to 3379712 its reverse (2179733), we get a triangular number (5559445 = T3334).

The spelling of 3379712 in words is "three million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 64 82 92 112 128 161 164 184 224 256 287 322 328 368 448 512 574 644 656 736 896 943 1148 1288 1312 1472 1792 1886 2296 2576 2624 2944 3584 3772 4592 5152 5248 5888 6601 7544 9184 10304 10496 11776 13202 15088 18368 20608 20992 26404 30176 36736 41216 52808 60352 73472 82432 105616 120704 146944 211232 241408 422464 482816 844928 1689856 3379712