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3441001104 = 2432791312309
BaseRepresentation
bin1100110100011001…
…1000001010010000
322212210211222010100
43031012120022100
524021344013404
61325240332400
7151162012122
oct31506301220
98783758110
103441001104
1115063a0072
12800474100
1342ab80238
14249001212
15152155d39
hexcd198290

3441001104 has 120 divisors (see below), whose sum is σ = 9830620800. Its totient is φ = 1123349760.

The previous prime is 3441001103. The next prime is 3441001111. The reversal of 3441001104 is 4011001443.

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 (3441001103) 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, 1489102 + ... + 1491410.

It is an arithmetic number, because the mean of its divisors is an integer number (81921840).

Almost surely, 23441001104 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 3441001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915310400).

3441001104 is an abundant number, since it is smaller than the sum of its proper divisors (6389619696).

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

3441001104 is a wasteful number, since it uses less digits than its factorization.

3441001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2524 counting only the distinct ones).

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

The square root of 3441001104 is about 58660.0469144033. The cubic root of 3441001104 is about 1509.7148861570.

Adding to 3441001104 its reverse (4011001443), we get a palindrome (7452002547).

The spelling of 3441001104 in words is "three billion, four hundred forty-one million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 131 144 158 237 262 316 393 474 524 632 711 786 948 1048 1179 1264 1422 1572 1896 2096 2309 2358 2844 3144 3792 4618 4716 5688 6288 6927 9236 9432 10349 11376 13854 18472 18864 20698 20781 27708 31047 36944 41396 41562 55416 62094 82792 83124 93141 110832 124188 165584 166248 182411 186282 248376 302479 332496 364822 372564 496752 547233 604958 729644 745128 907437 1094466 1209916 1459288 1490256 1641699 1814874 2188932 2419832 2722311 2918576 3283398 3629748 4377864 4839664 5444622 6566796 7259496 8755728 10889244 13133592 14518992 21778488 23895841 26267184 43556976 47791682 71687523 95583364 143375046 191166728 215062569 286750092 382333456 430125138 573500184 860250276 1147000368 1720500552 3441001104