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3413321040 = 243537384383
BaseRepresentation
bin1100101101110011…
…0010010101010000
322210212202200012210
43023130302111100
523442302233130
61322411152120
7150404515203
oct31334622520
98725680183
103413321040
1114a1804688
127b3145640
1342520b1bc
1424547793a
1514e9d95b0
hexcb732550

3413321040 has 80 divisors (see below), whose sum is σ = 10867304448. Its totient is φ = 885616128.

The previous prime is 3413321039. The next prime is 3413321057. The reversal of 3413321040 is 401233143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3413320998 and 3413321016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183312 + ... + 201071.

Almost surely, 23413321040 is an apocalyptic number.

3413321040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413321040 is an abundant number, since it is smaller than the sum of its proper divisors (7453983408).

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

3413321040 is a wasteful number, since it uses less digits than its factorization.

3413321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384436 (or 384430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3413321040 is about 58423.6342587484. The cubic root of 3413321040 is about 1505.6558386341.

Adding to 3413321040 its reverse (401233143), we get a palindrome (3814554183).

The spelling of 3413321040 in words is "three billion, four hundred thirteen million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 384383 768766 1153149 1537532 1921915 2306298 3075064 3843830 4612596 5765745 6150128 7687660 9225192 11531490 14222171 15375320 18450384 23062980 28444342 30750640 42666513 46125960 56888684 71110855 85333026 92251920 113777368 142221710 170666052 213332565 227554736 284443420 341332104 426665130 568886840 682664208 853330260 1137773680 1706660520 3413321040