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304252224 = 26329531031
BaseRepresentation
bin10010001000101…
…000010101000000
3210012111121120220
4102020220111000
51110342032344
650105103040
710353046503
oct2210502500
9705447526
10304252224
11146819221
1285a87a80
134b059403
142c59d13a
151ba9dc19
hex12228540

304252224 has 112 divisors (see below), whose sum is σ = 849294720. Its totient is φ = 95979520.

The previous prime is 304252217. The next prime is 304252229. The reversal of 304252224 is 422252403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 304252194 and 304252203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304252229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294589 + ... + 295619.

Almost surely, 2304252224 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 304252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424647360).

304252224 is an abundant number, since it is smaller than the sum of its proper divisors (545042496).

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

304252224 is a wasteful number, since it uses less digits than its factorization.

304252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 304252224 is about 17442.8272937618. The cubic root of 304252224 is about 672.5809884819.

The spelling of 304252224 in words is "three hundred four million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 159 174 192 212 232 318 348 424 464 636 696 848 928 1031 1272 1392 1537 1696 1856 2062 2544 2784 3074 3093 3392 4124 4611 5088 5568 6148 6186 8248 9222 10176 12296 12372 16496 18444 24592 24744 29899 32992 36888 49184 49488 54643 59798 65984 73776 89697 98368 98976 109286 119596 147552 163929 179394 197952 218572 239192 295104 327858 358788 437144 478384 655716 717576 874288 956768 1311432 1435152 1584647 1748576 1913536 2622864 2870304 3169294 3497152 4753941 5245728 5740608 6338588 9507882 10491456 12677176 19015764 25354352 38031528 50708704 76063056 101417408 152126112 304252224