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344030100432 = 24361268343793
BaseRepresentation
bin1010000000110011100…
…10101011101111010000
31012220000001022212201120
411000121302223233100
521114033201203212
6422013435002240
733566246414154
oct5003162535720
91186001285646
10344030100432
111229a2028457
1256812b99380
1326598b11485
1412918a5b064
158e37db488c
hex5019cabbd0

344030100432 has 80 divisors (see below), whose sum is σ = 903671322048. Its totient is φ = 112752138240.

The previous prime is 344030100389. The next prime is 344030100443. The reversal of 344030100432 is 234001030443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7833928 + ... + 7877720.

Almost surely, 2344030100432 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 344030100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451835661024).

344030100432 is an abundant number, since it is smaller than the sum of its proper divisors (559641221616).

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

344030100432 is a wasteful number, since it uses less digits than its factorization.

344030100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46548 (or 46542 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 344030100432 its reverse (234001030443), we get a palindrome (578031130875).

The spelling of 344030100432 in words is "three hundred forty-four billion, thirty million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2683 2928 5366 8049 10732 16098 21464 32196 42928 43793 64392 87586 128784 131379 163663 175172 262758 327326 350344 490989 525516 654652 700688 981978 1051032 1309304 1963956 2102064 2618608 2671373 3927912 5342746 7855824 8014119 10685492 16028238 21370984 32056476 42741968 64112952 117496619 128225904 234993238 352489857 469986476 704979714 939972952 1409959428 1879945904 2819918856 5639837712 7167293759 14334587518 21501881277 28669175036 43003762554 57338350072 86007525108 114676700144 172015050216 344030100432