Search a number
-
+
3430325844 = 22321141593581
BaseRepresentation
bin1100110001110110…
…1001111001010100
322212001202121102100
43030131221321110
524011130411334
61324215442100
7151002200661
oct31435517124
98761677370
103430325844
111500369640
127b8986330
134288b320a
14247822a68
15151247c99
hexcc769e54

3430325844 has 144 divisors (see below), whose sum is σ = 9857090880. Its totient is φ = 996672000.

The previous prime is 3430325839. The next prime is 3430325851. The reversal of 3430325844 is 4485230343.

3430325844 is a `hidden beast` number, since 3 + 43 + 0 + 32 + 584 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3430325799 and 3430325808.

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 47 ways as a sum of consecutive naturals, for example, 956134 + ... + 959714.

It is an arithmetic number, because the mean of its divisors is an integer number (68452020).

Almost surely, 23430325844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430325844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928545440).

3430325844 is an abundant number, since it is smaller than the sum of its proper divisors (6426765036).

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

3430325844 is a wasteful number, since it uses less digits than its factorization.

3430325844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3430325844 is about 58568.9836346850. The cubic root of 3430325844 is about 1508.1520372664.

The spelling of 3430325844 in words is "three billion, four hundred thirty million, three hundred twenty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 59 66 82 99 118 123 132 164 177 198 236 246 354 369 396 451 492 531 649 708 738 902 1062 1298 1353 1476 1804 1947 2124 2419 2596 2706 3581 3894 4059 4838 5412 5841 7162 7257 7788 8118 9676 10743 11682 14324 14514 16236 21486 21771 23364 26609 29028 32229 39391 42972 43542 53218 64458 78782 79827 87084 106436 118173 128916 146821 157564 159654 211279 236346 239481 293642 319308 354519 422558 440463 472692 478962 587284 633837 709038 845116 880926 957924 1267674 1321389 1418076 1615031 1761852 1901511 2324069 2535348 2642778 3230062 3803022 4648138 4845093 5285556 6460124 6972207 7606044 8662439 9296276 9690186 13944414 14535279 17324878 19380372 20916621 25987317 27888828 29070558 34649756 41833242 51974634 58141116 77961951 83666484 95286829 103949268 155923902 190573658 285860487 311847804 381147316 571720974 857581461 1143441948 1715162922 3430325844