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344034944 = 2711297229
BaseRepresentation
bin10100100000011…
…000111010000000
3212222100210012222
4110200120322000
51201033104234
654045510212
711345151221
oct2440307200
9788323188
10344034944
11167220600
1297272368
1356378096
1433997248
152030b42e
hex14818e80

344034944 has 96 divisors (see below), whose sum is σ = 764444100. Its totient is φ = 154091520.

The previous prime is 344034913. The next prime is 344034953. The reversal of 344034944 is 449430443.

It can be written as a sum of positive squares in 2 ways, for example, as 325441600 + 18593344 = 18040^2 + 4312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1502222 + ... + 1502450.

Almost surely, 2344034944 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 344034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382222050).

344034944 is an abundant number, since it is smaller than the sum of its proper divisors (420409156).

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

344034944 is a wasteful number, since it uses less digits than its factorization.

344034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 344034944 is about 18548.1789941762. The cubic root of 344034944 is about 700.7033366116.

The spelling of 344034944 in words is "three hundred forty-four million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 229 242 352 388 458 484 704 776 916 968 1067 1408 1552 1832 1936 2134 2519 3104 3664 3872 4268 5038 6208 7328 7744 8536 10076 11737 12416 14656 15488 17072 20152 22213 23474 27709 29312 34144 40304 44426 46948 55418 68288 80608 88852 93896 110836 136576 161216 177704 187792 221672 244343 322432 355408 375584 443344 488686 710816 751168 886688 977372 1421632 1502336 1773376 1954744 2687773 2843264 3546752 3909488 5375546 7818976 10751092 15637952 21502184 31275904 43004368 86008736 172017472 344034944