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30692844 = 2235713347
BaseRepresentation
bin111010100010…
…1010111101100
32010202100200000
41311011113230
530324132334
63013504300
7521612340
oct165052754
963670600
1030692844
1116363a96
12a342090
136488460
14410d620
152a64299
hex1d455ec

30692844 has 144 divisors (see below), whose sum is σ = 99310848. Its totient is φ = 8071488.

The previous prime is 30692839. The next prime is 30692863. The reversal of 30692844 is 44829603.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 30692799 and 30692808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88279 + ... + 88625.

Almost surely, 230692844 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 30692844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49655424).

30692844 is an abundant number, since it is smaller than the sum of its proper divisors (68618004).

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

30692844 is a wasteful number, since it uses less digits than its factorization.

30692844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30692844 is about 5540.1122732306. The cubic root of 30692844 is about 313.0970992387.

The spelling of 30692844 in words is "thirty million, six hundred ninety-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 347 351 364 378 468 486 546 567 694 702 756 819 972 1041 1053 1092 1134 1388 1404 1638 1701 2082 2106 2268 2429 2457 3123 3159 3276 3402 4164 4212 4511 4858 4914 6246 6318 6804 7287 7371 9022 9369 9716 9828 12492 12636 13533 14574 14742 18044 18738 21861 22113 27066 28107 29148 29484 31577 37476 40599 43722 44226 54132 56214 63154 65583 81198 84321 87444 88452 94731 112428 121797 126308 131166 162396 168642 189462 196749 243594 262332 284193 337284 365391 378924 393498 487188 568386 590247 730782 786996 852579 1096173 1136772 1180494 1461564 1705158 2192346 2360988 2557737 3410316 4384692 5115474 7673211 10230948 15346422 30692844