Search a number
-
+
73150308 = 223271122399
BaseRepresentation
bin1000101110000…
…10111101100100
312002122102100200
410113002331210
5122211302213
611131510500
71545524130
oct427027544
9162572320
1073150308
1138322a00
12205b8430
131220270a
149a023c0
15664e273
hex45c2f64

73150308 has 108 divisors (see below), whose sum is σ = 232377600. Its totient is φ = 18992160.

The previous prime is 73150271. The next prime is 73150309. The reversal of 73150308 is 80305137.

It is not an unprimeable number, because it can be changed into a prime (73150309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29293 + ... + 31691.

Almost surely, 273150308 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 73150308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116188800).

73150308 is an abundant number, since it is smaller than the sum of its proper divisors (159227292).

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

73150308 is a wasteful number, since it uses less digits than its factorization.

73150308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 73150308 is about 8552.7953325214. The cubic root of 73150308 is about 418.2205668797.

The spelling of 73150308 in words is "seventy-three million, one hundred fifty thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2399 2541 2772 3388 4356 4798 5082 7197 7623 9596 10164 14394 15246 16793 21591 26389 28788 30492 33586 43182 50379 52778 67172 79167 86364 100758 105556 151137 158334 184723 201516 237501 290279 302274 316668 369446 475002 554169 580558 604548 738892 870837 950004 1108338 1161116 1662507 1741674 2031953 2216676 2612511 3325014 3483348 4063906 5225022 6095859 6650028 8127812 10450044 12191718 18287577 24383436 36575154 73150308