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304213364 = 2272132329179
BaseRepresentation
bin10010001000011…
…110110101110100
3210012102122021122
4102020132311310
51110334311424
650104203112
710352525300
oct2210366564
9705378248
10304213364
111467a2004
1285a69498
134b044810
142c58cd00
151ba9245e
hex1221ed74

304213364 has 144 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 110525184.

The previous prime is 304213339. The next prime is 304213367. The reversal of 304213364 is 463312403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304213367) 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, 1699427 + ... + 1699605.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2304213364 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 304213364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

304213364 is an abundant number, since it is smaller than the sum of its proper divisors (419732236).

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

304213364 is a wasteful number, since it uses less digits than its factorization.

304213364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 304213364 is about 17441.7133332709. The cubic root of 304213364 is about 672.5523525806.

Adding to 304213364 its reverse (463312403), we get a palindrome (767525767).

The spelling of 304213364 in words is "three hundred four million, two hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 23 26 28 29 46 49 52 58 91 92 98 116 161 179 182 196 203 299 322 358 364 377 406 598 637 644 667 716 754 812 1127 1196 1253 1274 1334 1421 1508 2093 2254 2327 2506 2548 2639 2668 2842 4117 4186 4508 4654 4669 5012 5191 5278 5684 8234 8372 8671 8771 9308 9338 10382 10556 14651 16289 16468 17342 17542 18473 18676 20764 28819 29302 32578 32683 34684 35084 36337 36946 53521 57638 58604 60697 65156 65366 67483 72674 73892 107042 114023 115276 119393 121394 130732 134966 145348 201733 214084 228046 238786 242788 254359 269932 374647 403466 424879 456092 472381 477572 508718 749294 806932 835751 849758 944762 1017436 1498588 1552109 1671502 1699516 1889524 2622529 3104218 3306667 3343004 5245058 5850257 6208436 6613334 10490116 10864763 11700514 13226668 21729526 23401028 43459052 76053341 152106682 304213364