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305533242 = 233723113311
BaseRepresentation
bin10010001101100…
…001000100111010
3210021220200211000
4102031201010322
51111204030432
650152345430
710366663320
oct2215410472
9707820730
10305533242
11147513713
12863a5276
134b3b7501
142c813d10
151bc5357c
hex1236113a

305533242 has 128 divisors (see below), whose sum is σ = 819486720. Its totient is φ = 82494720.

The previous prime is 305533223. The next prime is 305533253. The reversal of 305533242 is 242335503.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982267 + ... + 982577.

It is an arithmetic number, because the mean of its divisors is an integer number (6402240).

Almost surely, 2305533242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305533242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409743360).

305533242 is an abundant number, since it is smaller than the sum of its proper divisors (513953478).

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

305533242 is a wasteful number, since it uses less digits than its factorization.

305533242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 305533242 is about 17479.5092036361. The cubic root of 305533242 is about 673.5236076863.

Adding to 305533242 its reverse (242335503), we get a palindrome (547868745).

The spelling of 305533242 in words is "three hundred five million, five hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 113 126 138 161 189 207 226 311 322 339 378 414 483 621 622 678 791 933 966 1017 1242 1449 1582 1866 2034 2177 2373 2599 2799 2898 3051 4347 4354 4746 5198 5598 6102 6531 7119 7153 7797 8397 8694 13062 14238 14306 15594 16794 18193 19593 21357 21459 23391 35143 36386 39186 42714 42918 46782 50071 54579 58779 64377 70173 70286 100142 105429 109158 117558 128754 140346 150213 163737 193131 210858 246001 300426 316287 327474 386262 450639 491211 492002 632574 738003 808289 901278 948861 982422 1351917 1476006 1616578 1897722 2214009 2424867 2703834 4428018 4849734 5658023 6642027 7274601 11316046 13284054 14549202 16974069 21823803 33948138 43647606 50922207 101844414 152766621 305533242