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304952076 = 22321113371601
BaseRepresentation
bin10010001011010…
…011001100001100
3210020211011121100
4102023103030030
51111031431301
650132103100
710362023052
oct2213231414
9706734540
10304952076
11147157010
1286164a90
134b242b20
142c7021d2
151bb8b286
hex122d330c

304952076 has 144 divisors (see below), whose sum is σ = 930672288. Its totient is φ = 82944000.

The previous prime is 304952057. The next prime is 304952077. The reversal of 304952076 is 670259403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 304952076.

It is not an unprimeable number, because it can be changed into a prime (304952077) 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, 189676 + ... + 191276.

It is an arithmetic number, because the mean of its divisors is an integer number (6463002).

Almost surely, 2304952076 is an apocalyptic number.

304952076 is a gapful number since it is divisible by the number (36) 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 304952076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465336144).

304952076 is an abundant number, since it is smaller than the sum of its proper divisors (625720212).

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

304952076 is a wasteful number, since it uses less digits than its factorization.

304952076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 304952076 is about 17462.8770825428. The cubic root of 304952076 is about 673.0962919712.

The spelling of 304952076 in words is "three hundred four million, nine hundred fifty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 37 39 44 52 66 74 78 99 111 117 132 143 148 156 198 222 234 286 333 396 407 429 444 468 481 572 666 814 858 962 1221 1287 1332 1443 1601 1628 1716 1924 2442 2574 2886 3202 3663 4329 4803 4884 5148 5291 5772 6404 7326 8658 9606 10582 14409 14652 15873 17316 17611 19212 20813 21164 28818 31746 35222 41626 47619 52833 57636 59237 62439 63492 70444 83252 95238 105666 118474 124878 158499 177711 187317 190476 211332 228943 236948 249756 316998 355422 374634 457886 533133 633996 651607 686829 710844 749268 770081 915772 1066266 1303214 1373658 1540162 1954821 2060487 2132532 2310243 2606428 2747316 3080324 3909642 4120974 4620486 5864463 6930729 7819284 8241948 8470891 9240972 11728926 13861458 16941782 23457852 25412673 27722916 33883564 50825346 76238019 101650692 152476038 304952076