Search a number
-
+
103447344 = 243711132153
BaseRepresentation
bin1100010101001…
…11101100110000
321012122200002010
412022213230300
5202440303334
614133122520
72364200520
oct612475460
9235580063
10103447344
1153436580
122a789440
131857c960
14da4b680
1591360e9
hex62a7b30

103447344 has 160 divisors (see below), whose sum is σ = 358977024. Its totient is φ = 24791040.

The previous prime is 103447339. The next prime is 103447367. The reversal of 103447344 is 443744301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46972 + ... + 49124.

Almost surely, 2103447344 is an apocalyptic number.

103447344 is a gapful number since it is divisible by the number (14) 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 103447344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179488512).

103447344 is an abundant number, since it is smaller than the sum of its proper divisors (255529680).

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

103447344 is a wasteful number, since it uses less digits than its factorization.

103447344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 103447344 is about 10170.9067442387. The cubic root of 103447344 is about 469.4324581508.

The spelling of 103447344 in words is "one hundred three million, four hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2153 2184 2288 3003 3432 3696 4004 4306 4368 6006 6459 6864 8008 8612 12012 12918 15071 16016 17224 23683 24024 25836 27989 30142 34448 45213 47366 48048 51672 55978 60284 71049 83967 90426 94732 103344 111956 120568 142098 165781 167934 180852 189464 195923 223912 241136 284196 307879 331562 335868 361704 378928 391846 447824 497343 568392 587769 615758 663124 671736 723408 783692 923637 994686 1136784 1175538 1231516 1326248 1343472 1567384 1847274 1989372 2155153 2351076 2463032 2652496 3134768 3694548 3978744 4310306 4702152 4926064 6465459 7389096 7957488 8620612 9404304 12930918 14778192 17241224 25861836 34482448 51723672 103447344