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3374364 = 2237172139
BaseRepresentation
bin1100110111110100011100
320100102202110
430313310130
51330434424
6200154020
740452540
oct14676434
96312673
103374364
1119a5234
121168910
13911b86
1463ba20
15469c29
hex337d1c

3374364 has 72 divisors (see below), whose sum is σ = 9627520. Its totient is φ = 900864.

The previous prime is 3374359. The next prime is 3374377. The reversal of 3374364 is 4634733.

It is a super-2 number, since 2×33743642 = 22772664808992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 311 + 313 + 73 + 46 + 313 + 62 + 46 .

Its product of digits (18144) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24207 + ... + 24345.

Almost surely, 23374364 is an apocalyptic number.

3374364 is a gapful number since it is divisible by the number (34) 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 3374364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813760).

3374364 is an abundant number, since it is smaller than the sum of its proper divisors (6253156).

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

3374364 is a wasteful number, since it uses less digits than its factorization.

3374364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 18144, while the sum is 30.

The square root of 3374364 is about 1836.9442016567. The cubic root of 3374364 is about 149.9905771859.

The spelling of 3374364 in words is "three million, three hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 139 204 238 278 289 357 417 476 556 578 714 834 867 973 1156 1428 1668 1734 1946 2023 2363 2919 3468 3892 4046 4726 5838 6069 7089 8092 9452 11676 12138 14178 16541 24276 28356 33082 40171 49623 66164 80342 99246 120513 160684 198492 241026 281197 482052 562394 843591 1124788 1687182 3374364