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2034013104 = 2432163193449
BaseRepresentation
bin111100100111100…
…1001001110110000
312020202100120102200
41321033021032300
513131201404404
6533455543200
7101255553234
oct17117111660
95222316380
102034013104
11954169172
1248922ab00
13265525b66
141541d05c4
15bd880839
hex793c93b0

2034013104 has 120 divisors (see below), whose sum is σ = 5769831600. Its totient is φ = 668860416.

The previous prime is 2034013087. The next prime is 2034013109. The reversal of 2034013104 is 4013104302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2034013109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4529872 + ... + 4530320.

It is an arithmetic number, because the mean of its divisors is an integer number (48081930).

Almost surely, 22034013104 is an apocalyptic number.

2034013104 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 2034013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884915800).

2034013104 is an abundant number, since it is smaller than the sum of its proper divisors (3735818496).

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

2034013104 is a wasteful number, since it uses less digits than its factorization.

2034013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2034013104 is about 45100.0344124037. The cubic root of 2034013104 is about 1267.0232437786.

Adding to 2034013104 its reverse (4013104302), we get a palindrome (6047117406).

The spelling of 2034013104 in words is "two billion, thirty-four million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 193 326 386 449 489 579 652 772 898 978 1158 1304 1347 1467 1544 1737 1796 1956 2316 2608 2694 2934 3088 3474 3592 3912 4041 4632 5388 5868 6948 7184 7824 8082 9264 10776 11736 13896 16164 21552 23472 27792 31459 32328 62918 64656 73187 86657 94377 125836 146374 173314 188754 219561 251672 259971 283131 292748 346628 377508 439122 503344 519942 566262 585496 658683 693256 755016 779913 878244 1039884 1132524 1170992 1317366 1386512 1510032 1559826 1756488 2079768 2265048 2634732 3119652 3512976 4159536 4530096 5269464 6239304 10538928 12478608 14125091 28250182 42375273 56500364 84750546 113000728 127125819 169501092 226001456 254251638 339002184 508503276 678004368 1017006552 2034013104