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3344429250 = 23453317521
BaseRepresentation
bin1100011101010111…
…1111000011000010
322122002010121110000
43013111333003002
523322133214000
61311510420430
7145610115411
oct30725770302
98562117400
103344429250
111466930218
12794061716
13413b69c26
1423a263478
1514892c000
hexc757f0c2

3344429250 has 160 divisors (see below), whose sum is σ = 9400021488. Its totient is φ = 887328000.

The previous prime is 3344429239. The next prime is 3344429251. The reversal of 3344429250 is 529244433.

It can be written as a sum of positive squares in 8 ways, for example, as 136679481 + 3207749769 = 11691^2 + 56637^2 .

It is a super-2 number, since 2×33444292502 = 22370414016511125000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344429251) 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 79 ways as a sum of consecutive naturals, for example, 6418990 + ... + 6419510.

Almost surely, 23344429250 is an apocalyptic number.

3344429250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344429250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700010744).

3344429250 is an abundant number, since it is smaller than the sum of its proper divisors (6055592238).

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

3344429250 is a wasteful number, since it uses less digits than its factorization.

3344429250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3344429250 is about 57831.0405405263. The cubic root of 3344429250 is about 1495.4572562076.

The spelling of 3344429250 in words is "three billion, three hundred forty-four million, four hundred twenty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 317 375 405 450 521 634 675 750 810 951 1042 1125 1350 1563 1585 1902 2025 2250 2605 2853 3126 3170 3375 4050 4689 4755 5210 5706 6750 7815 7925 8559 9378 9510 10125 13025 14067 14265 15630 15850 17118 20250 23445 23775 25677 26050 28134 28530 39075 39625 42201 42795 46890 47550 51354 65125 70335 71325 78150 79250 84402 85590 117225 118875 128385 130250 140670 142650 165157 195375 211005 213975 234450 237750 256770 330314 351675 356625 390750 422010 427950 495471 586125 641925 703350 713250 825785 990942 1055025 1069875 1172250 1283850 1486413 1651570 1758375 2110050 2139750 2477355 2972826 3209625 3516750 4128925 4459239 4954710 5275125 6419250 7432065 8257850 8918478 10550250 12386775 13377717 14864130 20644625 22296195 24773550 26755434 37160325 41289250 44592390 61933875 66888585 74320650 111480975 123867750 133777170 185801625 222961950 334442925 371603250 557404875 668885850 1114809750 1672214625 3344429250