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1040341104 = 243311732999
BaseRepresentation
bin111110000000100…
…101100001110000
32200111120210201000
4332000211201300
54112311403404
6251122042000
734531516305
oct7600454160
92614523630
101040341104
11494277740
122504a9300
131376c306a
149c24d0ac
15614ee339
hex3e025870

1040341104 has 160 divisors (see below), whose sum is σ = 3303360000. Its totient is φ = 310832640.

The previous prime is 1040341103. The next prime is 1040341109. The reversal of 1040341104 is 4011430401.

It is a super-2 number, since 2×10403411042 = 2164619225343877632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040341103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345397 + ... + 348395.

It is an arithmetic number, because the mean of its divisors is an integer number (20646000).

Almost surely, 21040341104 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 1040341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651680000).

1040341104 is an abundant number, since it is smaller than the sum of its proper divisors (2263018896).

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

1040341104 is a wasteful number, since it uses less digits than its factorization.

1040341104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1040341104 is about 32254.3191526344. The cubic root of 1040341104 is about 1013.2701586116.

Adding to 1040341104 its reverse (4011430401), we get a palindrome (5051771505).

The spelling of 1040341104 in words is "one billion, forty million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 73 88 99 108 132 144 146 176 198 216 219 264 292 297 396 432 438 528 584 594 657 792 803 876 1168 1188 1314 1584 1606 1752 1971 2376 2409 2628 2999 3212 3504 3942 4752 4818 5256 5998 6424 7227 7884 8997 9636 10512 11996 12848 14454 15768 17994 19272 21681 23992 26991 28908 31536 32989 35988 38544 43362 47984 53982 57816 65978 71976 80973 86724 98967 107964 115632 131956 143952 161946 173448 197934 215928 218927 263912 296901 323892 346896 395868 431856 437854 527824 593802 647784 656781 791736 875708 890703 1187604 1295568 1313562 1583472 1751416 1781406 1970343 2375208 2408197 2627124 3502832 3562812 3940686 4750416 4816394 5254248 5911029 7125624 7224591 7881372 9632788 10508496 11822058 14251248 14449182 15762744 19265576 21673773 23644116 28898364 31525488 38531152 43347546 47288232 57796728 65021319 86695092 94576464 115593456 130042638 173390184 260085276 346780368 520170552 1040341104