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292030034328 = 233231166778487
BaseRepresentation
bin1000011111111100101…
…10001011000110011000
31000220210002000211012100
410033332112023012120
514241034142044303
6342053505043400
730045530222664
oct4177626130630
91026702024170
10292030034328
1110293838310a
1248720326560
13216cc8a32a6
14101c48558a4
1578e2b478a3
hex43fe58b198

292030034328 has 96 divisors (see below), whose sum is σ = 816928220160. Its totient is φ = 94145526720.

The previous prime is 292030034323. The next prime is 292030034353. The reversal of 292030034328 is 823430030292.

292030034328 is a `hidden beast` number, since 2 + 9 + 2 + 0 + 300 + 343 + 2 + 8 = 666.

292030034328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2920300343282 (a number of 24 digits) contains 22 as substring.

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 = 292030034292 and 292030034301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292030034323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3681501 + ... + 3759987.

It is an arithmetic number, because the mean of its divisors is an integer number (8509668960).

Almost surely, 2292030034328 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 292030034328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408464110080).

292030034328 is an abundant number, since it is smaller than the sum of its proper divisors (524898185832).

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

292030034328 is a wasteful number, since it uses less digits than its factorization.

292030034328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80197 (or 80190 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 292030034328 in words is "two hundred ninety-two billion, thirty million, thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1667 2232 3334 5001 6668 10002 13336 15003 20004 30006 40008 51677 60012 78487 103354 120024 155031 156974 206708 235461 310062 313948 413416 465093 470922 620124 627896 706383 930186 941844 1240248 1412766 1860372 1883688 2433097 2825532 3720744 4866194 5651064 7299291 9732388 14598582 19464776 21897873 29197164 43795746 58394328 87591492 130837829 175182984 261675658 392513487 523351316 785026974 1046702632 1177540461 1570053948 2355080922 3140107896 4055972699 4710161844 8111945398 9420323688 12167918097 16223890796 24335836194 32447781592 36503754291 48671672388 73007508582 97343344776 146015017164 292030034328