Search a number
-
+
302275428 = 2237132107199
BaseRepresentation
bin10010000001000…
…101101101100100
3210001210011221020
4102001011231210
51104340303203
645554451140
710330204320
oct2201055544
9701704836
10302275428
11145699004
1285293ab0
134a816700
142c206980
151b80d153
hex12045b64

302275428 has 144 divisors (see below), whose sum is σ = 885427200. Its totient is φ = 78579072.

The previous prime is 302275357. The next prime is 302275507. The reversal of 302275428 is 824572203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518873 + ... + 1519071.

It is an arithmetic number, because the mean of its divisors is an integer number (6148800).

Almost surely, 2302275428 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 302275428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

302275428 is an abundant number, since it is smaller than the sum of its proper divisors (583151772).

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

302275428 is a wasteful number, since it uses less digits than its factorization.

302275428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 302275428 is about 17386.0699411914. The cubic root of 302275428 is about 671.1211850510.

The spelling of 302275428 in words is "three hundred two million, two hundred seventy-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 169 182 199 214 273 321 338 364 398 428 507 546 597 642 676 749 796 1014 1092 1183 1194 1284 1391 1393 1498 2028 2247 2366 2388 2587 2782 2786 2996 3549 4173 4179 4494 4732 5174 5564 5572 7098 7761 8346 8358 8988 9737 10348 14196 15522 16692 16716 18083 18109 19474 21293 29211 31044 33631 36166 36218 38948 42586 54249 54327 58422 63879 67262 72332 72436 85172 100893 108498 108654 116844 126581 127758 134524 149051 201786 216996 217308 235417 253162 255516 276809 298102 379743 403572 447153 470834 506324 553618 596204 706251 759486 830427 894306 941668 1107236 1412502 1518972 1660854 1788612 1937663 2825004 3321708 3598517 3875326 5812989 7197034 7750652 10795551 11625978 14394068 21591102 23251956 25189619 43182204 50379238 75568857 100758476 151137714 302275428