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3670671408 = 243194638693
BaseRepresentation
bin1101101011001010…
…0000000000110000
3100110211000102112220
43122302200000300
530004142441113
61404123121040
7156651122625
oct33262400060
910424012486
103670671408
111613aa8838
12865373180
13466625421
1426b70834c
151673c1523
hexdaca0030

3670671408 has 80 divisors (see below), whose sum is σ = 10004359680. Its totient is φ = 1156522752.

The previous prime is 3670671383. The next prime is 3670671413. The reversal of 3670671408 is 8041760763.

It is a self number, because there is not a number n which added to its sum of digits gives 3670671408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417910 + ... + 426602.

It is an arithmetic number, because the mean of its divisors is an integer number (125054496).

Almost surely, 23670671408 is an apocalyptic number.

3670671408 is a gapful number since it is divisible by the number (38) 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 3670671408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002179840).

3670671408 is an abundant number, since it is smaller than the sum of its proper divisors (6333688272).

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

3670671408 is a wasteful number, since it uses less digits than its factorization.

3670671408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9186 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3670671408 is about 60586.0661208499. The cubic root of 3670671408 is about 1542.5828652748.

The spelling of 3670671408 in words is "three billion, six hundred seventy million, six hundred seventy-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 463 912 926 1389 1852 2778 3704 5556 7408 8693 8797 11112 17386 17594 22224 26079 26391 34772 35188 52158 52782 69544 70376 104316 105564 139088 140752 165167 208632 211128 330334 417264 422256 495501 660668 991002 1321336 1982004 2642672 3964008 4024859 7928016 8049718 12074577 16099436 24149154 32198872 48298308 64397744 76472321 96596616 152944642 193193232 229416963 305889284 458833926 611778568 917667852 1223557136 1835335704 3670671408