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302140152 = 233341109313
BaseRepresentation
bin10010000000100…
…100101011111000
3210001112022101000
4102000210223320
51104321441102
645551525000
710326102036
oct2200445370
9701468330
10302140152
11145606406
1285229760
134a799c72
142c1ad556
151b7d301c
hex12024af8

302140152 has 128 divisors (see below), whose sum is σ = 870408000. Its totient is φ = 97044480.

The previous prime is 302140151. The next prime is 302140171. The reversal of 302140152 is 251041203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302140151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 965148 + ... + 965460.

Almost surely, 2302140152 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 302140152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435204000).

302140152 is an abundant number, since it is smaller than the sum of its proper divisors (568267848).

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

302140152 is a wasteful number, since it uses less digits than its factorization.

302140152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 302140152 is about 17382.1791499225. The cubic root of 302140152 is about 671.0210554700.

Adding to 302140152 its reverse (251041203), we get a palindrome (553181355).

The spelling of 302140152 in words is "three hundred two million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 109 123 164 216 218 246 313 327 328 369 436 492 626 654 738 872 939 981 984 1107 1252 1308 1476 1878 1962 2214 2504 2616 2817 2943 2952 3756 3924 4428 4469 5634 5886 7512 7848 8451 8856 8938 11268 11772 12833 13407 16902 17876 22536 23544 25666 26814 33804 34117 35752 38499 40221 51332 53628 67608 68234 76998 80442 102351 102664 107256 115497 120663 136468 153996 160884 204702 230994 241326 272936 307053 307992 321768 346491 409404 461988 482652 614106 692982 818808 921159 923976 965304 1228212 1385964 1398797 1842318 2456424 2771928 2797594 3684636 4196391 5595188 7369272 8392782 11190376 12589173 16785564 25178346 33571128 37767519 50356692 75535038 100713384 151070076 302140152