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3379662 = 23211132101
BaseRepresentation
bin1100111001000111001110
320100201000200
430321013032
51331122122
6200234330
740504146
oct14710716
96321020
103379662
1119a9210
12116b9a6
13914400
1463d926
1546b5ac
hex3391ce

3379662 has 72 divisors (see below), whose sum is σ = 8735688. Its totient is φ = 936000.

The previous prime is 3379639. The next prime is 3379667. The reversal of 3379662 is 2669733.

It is a super-2 number, since 2×33796622 = 22844230468488, which contains 22 as substring.

It is a d-powerful number, because it can be written as 310 + 313 + 7 + 9 + 66 + 68 + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33412 + ... + 33512.

It is an arithmetic number, because the mean of its divisors is an integer number (121329).

Almost surely, 23379662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367844).

3379662 is an abundant number, since it is smaller than the sum of its proper divisors (5356026).

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

3379662 is a wasteful number, since it uses less digits than its factorization.

3379662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3379662 is about 1838.3857049053. The cubic root of 3379662 is about 150.0690348897.

It can be divided in two parts, 337 and 9662, that added together give a palindrome (9999).

The spelling of 3379662 in words is "three million, three hundred seventy-nine thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 101 117 143 169 198 202 234 286 303 338 429 507 606 858 909 1014 1111 1287 1313 1521 1818 1859 2222 2574 2626 3042 3333 3718 3939 5577 6666 7878 9999 11154 11817 14443 16731 17069 19998 23634 28886 33462 34138 43329 51207 86658 102414 129987 153621 187759 259974 307242 375518 563277 1126554 1689831 3379662