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3345444 = 2232196773
BaseRepresentation
bin1100110000110000100100
320021222002100
430300300210
51324023234
6155412100
740302324
oct14606044
96258070
103345444
111985533
121154030
1390196b
14631284
15461399
hex330c24

3345444 has 72 divisors (see below), whose sum is σ = 9158240. Its totient is φ = 1026432.

The previous prime is 3345439. The next prime is 3345451. The reversal of 3345444 is 4445433.

It is a super-2 number, since 2×33454442 = 22383991114272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45792 + ... + 45864.

Almost surely, 23345444 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 3345444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579120).

3345444 is an abundant number, since it is smaller than the sum of its proper divisors (5812796).

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

3345444 is a wasteful number, since it uses less digits than its factorization.

3345444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 3345444 is about 1829.0554939640. The cubic root of 3345444 is about 149.5608488968.

It can be divided in two parts, 334 and 5444, that added together give a triangular number (5778 = T107).

The spelling of 3345444 in words is "three million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 73 76 114 134 146 171 201 219 228 268 292 342 402 438 603 657 684 804 876 1206 1273 1314 1387 2412 2546 2628 2774 3819 4161 4891 5092 5548 7638 8322 9782 11457 12483 14673 15276 16644 19564 22914 24966 29346 44019 45828 49932 58692 88038 92929 176076 185858 278787 371716 557574 836361 1115148 1672722 3345444