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3410244420 = 2235116617817
BaseRepresentation
bin1100101101000100…
…0011001101000100
322210122222100212220
43023101003031010
523441010310140
61322221212340
7150336412362
oct31321031504
98718870786
103410244420
11149aaa3120
127b21010b0
134246a1a0b
14244cb6632
1514e5ccbd0
hexcb443344

3410244420 has 96 divisors (see below), whose sum is σ = 10433840256. Its totient is φ = 825369600.

The previous prime is 3410244419. The next prime is 3410244443. The reversal of 3410244420 is 244420143.

It is a happy number.

It is a super-2 number, since 2×34102444202 = 23259534008282272800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432352 + ... + 440168.

It is an arithmetic number, because the mean of its divisors is an integer number (108685836).

Almost surely, 23410244420 is an apocalyptic number.

3410244420 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 3410244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216920128).

3410244420 is an abundant number, since it is smaller than the sum of its proper divisors (7023595836).

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

3410244420 is a wasteful number, since it uses less digits than its factorization.

3410244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8499 counting only the distinct ones).

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

The square root of 3410244420 is about 58397.2980539340. The cubic root of 3410244420 is about 1505.2033249577.

Adding to 3410244420 its reverse (244420143), we get a palindrome (3654664563).

The spelling of 3410244420 in words is "three billion, four hundred ten million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 661 1322 1983 2644 3305 3966 6610 7271 7817 7932 9915 13220 14542 15634 19830 21813 23451 29084 31268 36355 39085 39660 43626 46902 72710 78170 85987 87252 93804 109065 117255 145420 156340 171974 218130 234510 257961 343948 429935 436260 469020 515922 859870 1031844 1289805 1719740 2579610 5159220 5167037 10334074 15501111 20668148 25835185 31002222 51670370 56837407 62004444 77505555 103340740 113674814 155011110 170512221 227349628 284187035 310022220 341024442 568374070 682048884 852561105 1136748140 1705122210 3410244420