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334044144 = 243272831171
BaseRepresentation
bin10011111010010…
…001101111110000
3212021120012102100
4103322101233300
51141003403034
653051420400
711164220430
oct2372215760
9767505370
10334044144
11161617345
1293a54700
135428a775
14325162c0
151e4d6099
hex13e91bf0

334044144 has 120 divisors (see below), whose sum is σ = 1073101952. Its totient is φ = 95022720.

The previous prime is 334044133. The next prime is 334044197. The reversal of 334044144 is 441440433.

334044144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340441442 = 223170980281385472, which contains 22 as substring.

It is a congruent number.

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, 284679 + ... + 285849.

Almost surely, 2334044144 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 334044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536550976).

334044144 is an abundant number, since it is smaller than the sum of its proper divisors (739057808).

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

334044144 is a wasteful number, since it uses less digits than its factorization.

334044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 334044144 is about 18276.8745687002. The cubic root of 334044144 is about 693.8537730327.

Adding to 334044144 its reverse (441440433), we get a palindrome (775484577).

The spelling of 334044144 in words is "three hundred thirty-four million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 283 336 504 566 849 1008 1132 1171 1698 1981 2264 2342 2547 3396 3513 3962 4528 4684 5094 5943 6792 7026 7924 8197 9368 10188 10539 11886 13584 14052 15848 16394 17829 18736 20376 21078 23772 24591 28104 31696 32788 35658 40752 42156 47544 49182 56208 65576 71316 73773 84312 95088 98364 131152 142632 147546 168624 196728 285264 295092 331393 393456 590184 662786 994179 1180368 1325572 1988358 2319751 2651144 2982537 3976716 4639502 5302288 5965074 6959253 7953432 9279004 11930148 13918506 15906864 18558008 20877759 23860296 27837012 37116016 41755518 47720592 55674024 83511036 111348048 167022072 334044144