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3413104420 = 2251183186917
BaseRepresentation
bin1100101101101111…
…1101011100100100
322210212100200001211
43023123331130210
523442223320140
61322402401204
7150402623515
oct31333753444
98725320054
103413104420
1114a1676960
127b3060204
1342516371b
1424541ca0c
1514e9952ea
hexcb6fd724

3413104420 has 48 divisors (see below), whose sum is σ = 7913360448. Its totient is φ = 1226168960.

The previous prime is 3413104411. The next prime is 3413104451. The reversal of 3413104420 is 244013143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3413104391 and 3413104400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75199 + ... + 111718.

It is an arithmetic number, because the mean of its divisors is an integer number (164861676).

Almost surely, 23413104420 is an apocalyptic number.

It is an amenable number.

3413104420 is an abundant number, since it is smaller than the sum of its proper divisors (4500256028).

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

3413104420 is a wasteful number, since it uses less digits than its factorization.

3413104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187020 (or 187018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3413104420 is about 58421.7803563020. The cubic root of 3413104420 is about 1505.6239867550.

Adding to 3413104420 its reverse (244013143), we get a palindrome (3657117563).

The spelling of 3413104420 in words is "three billion, four hundred thirteen million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 18260 186917 373834 747668 934585 1869170 2056087 3738340 4112174 8224348 10280435 15514111 20560870 31028222 41121740 62056444 77570555 155141110 170655221 310282220 341310442 682620884 853276105 1706552210 3413104420