Search a number
-
+
3403670040 = 233259454639
BaseRepresentation
bin1100101011011111…
…1110001000011000
322210012121100112100
43022313332020120
523432314420130
61321424243400
7150226501161
oct31267761030
98705540470
103403670040
111497312751
127aba70560
1342320c454
14244084768
1514dc2ec60
hexcadfe218

3403670040 has 48 divisors (see below), whose sum is σ = 11061928800. Its totient is φ = 907645248.

The previous prime is 3403670029. The next prime is 3403670047. The reversal of 3403670040 is 400763043.

It is a junction number, because it is equal to n+sod(n) for n = 3403669986 and 3403670013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403670047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4726960 + ... + 4727679.

It is an arithmetic number, because the mean of its divisors is an integer number (230456850).

Almost surely, 23403670040 is an apocalyptic number.

3403670040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403670040 is an abundant number, since it is smaller than the sum of its proper divisors (7658258760).

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

3403670040 is a wasteful number, since it uses less digits than its factorization.

3403670040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454656 (or 9454649 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3403670040 is about 58340.9807939496. The cubic root of 3403670040 is about 1504.2354427602.

The spelling of 3403670040 in words is "three billion, four hundred three million, six hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9454639 18909278 28363917 37818556 47273195 56727834 75637112 85091751 94546390 113455668 141819585 170183502 189092780 226911336 283639170 340367004 378185560 425458755 567278340 680734008 850917510 1134556680 1701835020 3403670040