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34254050248 = 23111574675309
BaseRepresentation
bin11111111001101100…
…110101001111001000
310021102020001001020201
4133321230311033020
51030123014101443
623422555101544
72321563423465
oct377154651710
9107366031221
1034254050248
1113588577a40
12677b7418b4
1332cb8168b2
14192d41066c
15d5733334d
hex7f9b353c8

34254050248 has 64 divisors (see below), whose sum is σ = 70675675200. Its totient is φ = 15434814720.

The previous prime is 34254050239. The next prime is 34254050279. The reversal of 34254050248 is 84205045243.

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, 6449418 + ... + 6454726.

It is an arithmetic number, because the mean of its divisors is an integer number (1104307425).

Almost surely, 234254050248 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 34254050248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35337837600).

34254050248 is an abundant number, since it is smaller than the sum of its proper divisors (36421624952).

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

34254050248 is a wasteful number, since it uses less digits than its factorization.

34254050248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 34254050248 in words is "thirty-four billion, two hundred fifty-four million, fifty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 157 314 467 628 934 1256 1727 1868 3454 3736 5137 5309 6908 10274 10618 13816 20548 21236 41096 42472 58399 73319 116798 146638 233596 293276 467192 586552 806509 833513 1613018 1667026 2479303 3226036 3334052 4958606 6452072 6668104 9168643 9917212 18337286 19834424 27272333 36674572 54544666 73349144 109089332 218178664 389250571 778501142 1557002284 3114004568 4281756281 8563512562 17127025124 34254050248