Search a number
-
+
3406036001340 = 2235738812089567
BaseRepresentation
bin110001100100000111100…
…100001110001000111100
3110001121120111122021200010
4301210013210032020330
5421301030204020330
611124413352103220
7501035514215460
oct61440744161074
913047514567603
103406036001340
1110a3545589235
12470142694b10
131b925983076b
14babd299a4a0
155d8eaed73b0
hex3190790e23c

3406036001340 has 96 divisors (see below), whose sum is σ = 10902128799744. Its totient is φ = 778321543680.

The previous prime is 3406036001233. The next prime is 3406036001353. The reversal of 3406036001340 is 431006306043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3406036001298 and 3406036001307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585237 + ... + 2674803.

It is an arithmetic number, because the mean of its divisors is an integer number (113563841664).

Almost surely, 23406036001340 is an apocalyptic number.

3406036001340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3406036001340 is an abundant number, since it is smaller than the sum of its proper divisors (7496092798404).

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

3406036001340 is a wasteful number, since it uses less digits than its factorization.

3406036001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093467 (or 2093465 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 3406036001340 in words is "three trillion, four hundred six billion, thirty-six million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3881 7762 11643 15524 19405 23286 27167 38810 46572 54334 58215 77620 81501 108668 116430 135835 163002 232860 271670 326004 407505 543340 815010 1630020 2089567 4179134 6268701 8358268 10447835 12537402 14626969 20895670 25074804 29253938 31343505 41791340 43880907 58507876 62687010 73134845 87761814 125374020 146269690 175523628 219404535 292539380 438809070 877618140 8109609527 16219219054 24328828581 32438438108 40548047635 48657657162 56767266689 81096095270 97315314324 113534533378 121644142905 162192190540 170301800067 227069066756 243288285810 283836333445 340603600134 486576571620 567672666890 681207200268 851509000335 1135345333780 1703018000670 3406036001340