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2034302144 = 267171312039
BaseRepresentation
bin111100101000000…
…1111110011000000
312020202220020220212
41321100033303000
513131240132034
6533510053252
7101261166020
oct17120176300
95222806825
102034302144
11954346346
1248934a228
132655c75a4
14154267a80
15bd8db2ce
hex7940fcc0

2034302144 has 112 divisors (see below), whose sum is σ = 4924592640. Its totient is φ = 813895680.

The previous prime is 2034302141. The next prime is 2034302159. The reversal of 2034302144 is 4412034302.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2034302141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996677 + ... + 998715.

Almost surely, 22034302144 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 2034302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462296320).

2034302144 is an abundant number, since it is smaller than the sum of its proper divisors (2890290496).

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

2034302144 is a wasteful number, since it uses less digits than its factorization.

2034302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2034302144 is about 45103.2387307164. The cubic root of 2034302144 is about 1267.0832570027.

Adding to 2034302144 its reverse (4412034302), we get a palindrome (6446336446).

The spelling of 2034302144 in words is "two billion, thirty-four million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 131 136 224 238 262 272 448 476 524 544 917 952 1048 1088 1834 1904 2039 2096 2227 3668 3808 4078 4192 4454 7336 7616 8156 8384 8908 14273 14672 15589 16312 17816 28546 29344 31178 32624 34663 35632 57092 58688 62356 65248 69326 71264 114184 124712 130496 138652 142528 228368 242641 249424 267109 277304 456736 485282 498848 534218 554608 913472 970564 997696 1068436 1109216 1869763 1941128 2136872 2218432 3739526 3882256 4273744 4540853 7479052 7764512 8547488 9081706 14958104 15529024 17094976 18163412 29916208 31785971 36326824 59832416 63571942 72653648 119664832 127143884 145307296 254287768 290614592 508575536 1017151072 2034302144