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4070353344 = 263612271531
BaseRepresentation
bin1111001010011100…
…1010100111000000
3101111200002101002120
43302213022213000
531314002301334
61511521444240
7202603301241
oct36247124700
911450071076
104070353344
1117a9676792
129571a0680
134cb385005
142a8828cc8
1518c520949
hexf29ca9c0

4070353344 has 112 divisors (see below), whose sum is σ = 11001426816. Its totient is φ = 1327795200.

The previous prime is 4070353321. The next prime is 4070353373. The reversal of 4070353344 is 4433530704.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2657859 + ... + 2659389.

Almost surely, 24070353344 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 4070353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500713408).

4070353344 is an abundant number, since it is smaller than the sum of its proper divisors (6931073472).

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

4070353344 is a wasteful number, since it uses less digits than its factorization.

4070353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 33.

The square root of 4070353344 is about 63799.3208741284. The cubic root of 4070353344 is about 1596.6535975403.

The spelling of 4070353344 in words is "four billion, seventy million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 227 244 366 454 488 681 732 908 976 1362 1464 1531 1816 1952 2724 2928 3062 3632 3904 4593 5448 5856 6124 7264 9186 10896 11712 12248 13847 14528 18372 21792 24496 27694 36744 41541 43584 48992 55388 73488 83082 93391 97984 110776 146976 166164 186782 221552 280173 293952 332328 347537 373564 443104 560346 664656 695074 747128 886208 1042611 1120692 1329312 1390148 1494256 2085222 2241384 2658624 2780296 2988512 4170444 4482768 5560592 5977024 8340888 8965536 11121184 16681776 17931072 21199757 22242368 33363552 42399514 63599271 66727104 84799028 127198542 169598056 254397084 339196112 508794168 678392224 1017588336 1356784448 2035176672 4070353344