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34405790448 = 2433126387917
BaseRepresentation
bin100000000010101111…
…101011001011110000
310021210210120020200010
4200002233223023300
51030430340243243
623450015254520
72325415251651
oct400257531360
9107723506603
1034405790448
1113656198667
12680251a440
1333240a48b3
14194562d528
15d65808433
hex802beb2f0

34405790448 has 80 divisors (see below), whose sum is σ = 92098676736. Its totient is φ = 11056316160.

The previous prime is 34405790383. The next prime is 34405790453. The reversal of 34405790448 is 84409750443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34405790397 and 34405790406.

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, 347386 + ... + 435302.

Almost surely, 234405790448 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 34405790448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46049338368).

34405790448 is an abundant number, since it is smaller than the sum of its proper divisors (57692886288).

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

34405790448 is a wasteful number, since it uses less digits than its factorization.

34405790448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88222 (or 88216 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 34405790448 in words is "thirty-four billion, four hundred five million, seven hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 263 372 496 526 744 789 1052 1488 1578 2104 3156 4208 6312 8153 12624 16306 24459 32612 48918 65224 87917 97836 130448 175834 195672 263751 351668 391344 527502 703336 1055004 1406672 2110008 2725427 4220016 5450854 8176281 10901708 16352562 21803416 23122171 32705124 43606832 46244342 65410248 69366513 92488684 130820496 138733026 184977368 277466052 369954736 554932104 716787301 1109864208 1433574602 2150361903 2867149204 4300723806 5734298408 8601447612 11468596816 17202895224 34405790448