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34485258480 = 2435143688577
BaseRepresentation
bin100000000111011110…
…110100100011110000
310022000100002122022120
4200013132310203300
51031111211232410
623501534434240
72330401601121
oct400736644360
9108010078276
1034485258480
1113697036122
126825062980
1333376a9aba
141951dd8048
15d6c7a4570
hex8077b48f0

34485258480 has 40 divisors (see below), whose sum is σ = 106904302032. Its totient is φ = 9196068864.

The previous prime is 34485258397. The next prime is 34485258487. The reversal of 34485258480 is 8485258443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34485258487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71844049 + ... + 71844528.

Almost surely, 234485258480 is an apocalyptic number.

34485258480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34485258480 is an abundant number, since it is smaller than the sum of its proper divisors (72419043552).

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

34485258480 is a wasteful number, since it uses less digits than its factorization.

34485258480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143688593 (or 143688587 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 51.

The spelling of 34485258480 in words is "thirty-four billion, four hundred eighty-five million, two hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 143688577 287377154 431065731 574754308 718442885 862131462 1149508616 1436885770 1724262924 2155328655 2299017232 2873771540 3448525848 4310657310 5747543080 6897051696 8621314620 11495086160 17242629240 34485258480