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2034001344 = 26317959183
BaseRepresentation
bin111100100111100…
…0110010111000000
312020202022222022010
41321033012113000
513131201020334
6533455412520
7101255504034
oct17117062700
95222288263
102034001344
11954160351
12489224140
132655206bb
141541ca1c4
15bd87c0e9
hex793c65c0

2034001344 has 56 divisors (see below), whose sum is σ = 5411784960. Its totient is φ = 674201344.

The previous prime is 2034001339. The next prime is 2034001369. The reversal of 2034001344 is 4431004302.

It is a super-2 number, since 2×20340013442 = 8274322934787612672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2034001344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4777 + ... + 63959.

Almost surely, 22034001344 is an apocalyptic number.

2034001344 is a gapful number since it is divisible by the number (24) 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 2034001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705892480).

2034001344 is an abundant number, since it is smaller than the sum of its proper divisors (3377783616).

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

2034001344 is a wasteful number, since it uses less digits than its factorization.

2034001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59377 (or 59367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2034001344 is about 45099.9040353746. The cubic root of 2034001344 is about 1267.0208019356.

Adding to 2034001344 its reverse (4431004302), we get a palindrome (6465005646).

The spelling of 2034001344 in words is "two billion, thirty-four million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 34368 59183 118366 177549 236732 355098 473464 710196 946928 1420392 1893856 2840784 3787712 5681568 10593757 11363136 21187514 31781271 42375028 63562542 84750056 127125084 169500112 254250168 339000224 508500336 678000448 1017000672 2034001344