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304052434532 = 2271129137248473
BaseRepresentation
bin1000110110010101110…
…11111111011001100100
31002001210221022000211222
410123022323333121210
514440144410401112
6351402454515512
730652463023310
oct4331273773144
91061727260758
10304052434532
11107a47744350
124ab16665b98
132289757b872
1410a05424b40
157d98340372
hex46caeff664

304052434532 has 96 divisors (see below), whose sum is σ = 691274545920. Its totient is φ = 113541765120.

The previous prime is 304052434529. The next prime is 304052434537. The reversal of 304052434532 is 235434250403.

It is a happy number.

It is a super-2 number, since 2×3040524345322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304052434492 and 304052434501.

It is not an unprimeable number, because it can be changed into a prime (304052434537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099448 + ... + 1347920.

It is an arithmetic number, because the mean of its divisors is an integer number (7200776520).

Almost surely, 2304052434532 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 304052434532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345637272960).

304052434532 is an abundant number, since it is smaller than the sum of its proper divisors (387222111388).

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

304052434532 is a wasteful number, since it uses less digits than its factorization.

304052434532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248661 (or 248659 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 304052434532 its reverse (235434250403), we get a palindrome (539486684935).

The spelling of 304052434532 in words is "three hundred four billion, fifty-two million, four hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 137 154 203 274 308 319 406 548 638 812 959 1276 1507 1918 2233 3014 3836 3973 4466 6028 7946 8932 10549 15892 21098 27811 42196 43703 55622 87406 111244 174812 248473 305921 496946 611842 993892 1223684 1739311 2733203 3478622 5466406 6957244 7205717 10932812 14411434 19132421 28822868 34040801 38264842 50440019 68081602 76529684 79262887 100880038 136163204 158525774 201760076 238285607 317051548 374448811 476571214 554840209 748897622 953142428 987183229 1109680418 1497795244 1974366458 2219360836 2621141677 3948732916 5242283354 6910282603 10484566708 10859015519 13820565206 21718031038 27641130412 43436062076 76013108633 152026217266 304052434532