Search a number
-
+
101482344 = 233219312393
BaseRepresentation
bin1100000110001…
…11111101101000
321001221211121100
412003013331220
5201434413334
614023041400
72341404615
oct603077550
9231854540
10101482344
1152314207
1229ba0260
1318042432
14d69950c
158d98c99
hex60c7f68

101482344 has 96 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 31000320.

The previous prime is 101482291. The next prime is 101482351. The reversal of 101482344 is 443284101.

It is a super-2 number, since 2×1014823442 = 20597332287468672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41212 + ... + 43604.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2101482344 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 101482344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

101482344 is an abundant number, since it is smaller than the sum of its proper divisors (197288856).

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

101482344 is a wasteful number, since it uses less digits than its factorization.

101482344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 101482344 is about 10073.8445491282. The cubic root of 101482344 is about 466.4411204866.

The spelling of 101482344 in words is "one hundred one million, four hundred eighty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 2393 3534 4712 4786 5301 7068 7179 9572 10602 14136 14358 19144 21204 21537 28716 42408 43074 45467 57432 74183 86148 90934 136401 148366 172296 181868 222549 272802 296732 363736 409203 445098 545604 593464 667647 818406 890196 1091208 1335294 1409477 1636812 1780392 2670588 2818954 3273624 4228431 5341176 5637908 8456862 11275816 12685293 16913724 25370586 33827448 50741172 101482344