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3404044140 = 223578397649
BaseRepresentation
bin1100101011100101…
…1001011101101100
322210020022100200220
43022321121131230
523432413403030
61321440251340
7150232616640
oct31271313554
98706270626
103404044140
111497548822
127b0010b50
13423310803
14244140c20
1514dca5a10
hexcae5976c

3404044140 has 96 divisors (see below), whose sum is σ = 11024294400. Its totient is φ = 768685056.

The previous prime is 3404044109. The next prime is 3404044153. The reversal of 3404044140 is 414404043.

It is a super-3 number, since 3×34040441403 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3404044140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13965 + ... + 83684.

It is an arithmetic number, because the mean of its divisors is an integer number (114836400).

Almost surely, 23404044140 is an apocalyptic number.

3404044140 is a gapful number since it is divisible by the number (30) 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 3404044140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512147200).

3404044140 is an abundant number, since it is smaller than the sum of its proper divisors (7620250260).

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

3404044140 is a wasteful number, since it uses less digits than its factorization.

3404044140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97751 (or 97749 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3404044140 is about 58344.1868569612. The cubic root of 3404044140 is about 1504.2905513006.

Adding to 3404044140 its reverse (414404043), we get a palindrome (3818448183).

The spelling of 3404044140 in words is "three billion, four hundred four million, forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 97649 195298 292947 390596 488245 585894 683543 976490 1171788 1367086 1464735 1952980 2050629 2734172 2929470 3417715 4101258 5858940 6835430 8104867 8202516 10253145 13670860 16209734 20506290 24314601 32419468 40524335 41012580 48629202 56734069 81048670 97258404 113468138 121573005 162097340 170202207 226936276 243146010 283670345 340404414 486292020 567340690 680808828 851011035 1134681380 1702022070 3404044140