Search a number
-
+
3399851406 = 237319072879
BaseRepresentation
bin1100101010100101…
…1001110110001110
322202221102100100110
43022221121312032
523430330221111
61321210340450
7150152155140
oct31251316616
98687370313
103399851406
111495144756
127aa72a726
134224a32c3
1424376cc90
1514d7285a6
hexcaa59d8e

3399851406 has 64 divisors (see below), whose sum is σ = 8033402880. Its totient is φ = 938688480.

The previous prime is 3399851387. The next prime is 3399851423. The reversal of 3399851406 is 6041589933.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1179475 + ... + 1182353.

It is an arithmetic number, because the mean of its divisors is an integer number (125521920).

Almost surely, 23399851406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399851406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016701440).

3399851406 is an abundant number, since it is smaller than the sum of its proper divisors (4633551474).

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

3399851406 is a wasteful number, since it uses less digits than its factorization.

3399851406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829.

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 3399851406 is about 58308.2447514929. The cubic root of 3399851406 is about 1503.6726900040.

The spelling of 3399851406 in words is "three billion, three hundred ninety-nine million, eight hundred fifty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 907 1302 1814 2721 2879 5442 5758 6349 8637 12698 17274 19047 20153 28117 38094 40306 56234 60459 84351 89249 120918 168702 178498 196819 267747 393638 535494 590457 624743 1180914 1249486 1874229 2611253 3748458 5222506 7833759 15667518 18278771 36557542 54836313 80948843 109672626 161897686 242846529 485693058 566641901 1133283802 1699925703 3399851406