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2030324292 = 223531431567
BaseRepresentation
bin111100100000100…
…0100101001000100
312020111102011100000
41321001010221010
513124230334132
6533244521300
7101212320543
oct17101045104
95214364300
102030324292
11952079767
12487b50230
13264833b29
1415391015a
15bd3a287c
hex79044a44

2030324292 has 144 divisors (see below), whose sum is σ = 5625331712. Its totient is φ = 639303840.

The previous prime is 2030324291. The next prime is 2030324293. The reversal of 2030324292 is 2924230302.

2030324292 is a `hidden beast` number, since 20 + 30 + 324 + 292 = 666.

It is an interprime number because it is at equal distance from previous prime (2030324291) and next prime (2030324293).

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

It is not an unprimeable number, because it can be changed into a prime (2030324291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294893 + ... + 1296459.

Almost surely, 22030324292 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 2030324292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812665856).

2030324292 is an abundant number, since it is smaller than the sum of its proper divisors (3595007420).

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

2030324292 is a wasteful number, since it uses less digits than its factorization.

2030324292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2030324292 is about 45059.1199647752. The cubic root of 2030324292 is about 1266.2568378978.

Adding to 2030324292 its reverse (2924230302), we get a palindrome (4954554594).

The spelling of 2030324292 in words is "two billion, thirty million, three hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 81 86 93 108 124 129 162 172 186 243 258 279 324 372 387 486 516 558 774 837 972 1116 1161 1333 1548 1567 1674 2322 2511 2666 3134 3348 3483 3999 4644 4701 5022 5332 6268 6966 7533 7998 9402 10044 10449 11997 13932 14103 15066 15996 18804 20898 23994 28206 30132 35991 41796 42309 47988 48577 56412 67381 71982 84618 97154 107973 126927 134762 143964 145731 169236 194308 202143 215946 253854 269524 291462 323919 380781 404286 431892 437193 507708 582924 606429 647838 761562 808572 874386 1212858 1295676 1311579 1523124 1748772 1819287 2088811 2425716 2623158 3638574 3934737 4177622 5246316 5457861 6266433 7277148 7869474 8355244 10915722 11804211 12532866 15738948 16373583 18799299 21831444 23608422 25065732 32747166 37598598 47216844 56397897 65494332 75197196 112795794 169193691 225591588 338387382 507581073 676774764 1015162146 2030324292