Search a number
-
+
302369004 = 223372173361
BaseRepresentation
bin10010000001011…
…100100011101100
3210001221221022000
4102001130203230
51104401302004
650000452300
710331044200
oct2201344354
9701857260
10302369004
11145752343
128531a090
134a84a192
142c22cb00
151b82ac39
hex1205c8ec

302369004 has 144 divisors (see below), whose sum is σ = 965835360. Its totient is φ = 81285120.

The previous prime is 302369003. The next prime is 302369029. The reversal of 302369004 is 400963203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (302369003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88284 + ... + 91644.

It is an arithmetic number, because the mean of its divisors is an integer number (6707190).

Almost surely, 2302369004 is an apocalyptic number.

302369004 is a gapful number since it is divisible by the number (34) 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 302369004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482917680).

302369004 is an abundant number, since it is smaller than the sum of its proper divisors (663466356).

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

302369004 is a wasteful number, since it uses less digits than its factorization.

302369004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 302369004 is about 17388.7608529188. The cubic root of 302369004 is about 671.1904313419.

It can be divided in two parts, 3023 and 69004, that added together give a palindrome (72027).

The spelling of 302369004 in words is "three hundred two million, three hundred sixty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 189 196 204 238 252 294 306 357 378 441 459 476 588 612 714 756 833 882 918 1071 1323 1428 1666 1764 1836 2142 2499 2646 3213 3332 3361 4284 4998 5292 6426 6722 7497 9996 10083 12852 13444 14994 20166 22491 23527 29988 30249 40332 44982 47054 57137 60498 70581 89964 90747 94108 114274 120996 141162 164689 171411 181494 211743 228548 282324 329378 342822 362988 399959 423486 494067 514233 635229 658756 685644 799918 846972 988134 1028466 1199877 1270458 1482201 1542699 1599836 1976268 2056932 2399754 2540916 2799713 2964402 3085398 3599631 4446603 4799508 5599426 5928804 6170796 7199262 8399139 8893206 10798893 11198852 14398524 16798278 17786412 21597786 25197417 33596556 43195572 50394834 75592251 100789668 151184502 302369004