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3480248250 = 232536125357
BaseRepresentation
bin1100111101110000…
…0101111110111010
322222112200221002100
43033130011332322
524111420421000
61333201444230
7152146423233
oct31734057672
98875627070
103480248250
111526567026
12811640676
134360421bb
142502da08a
15155809a00
hexcf705fba

3480248250 has 96 divisors (see below), whose sum is σ = 9565240464. Its totient is φ = 912816000.

The previous prime is 3480248249. The next prime is 3480248267. The reversal of 3480248250 is 528420843.

It can be written as a sum of positive squares in 8 ways, for example, as 155226681 + 3325021569 = 12459^2 + 57663^2 .

It is a super-2 number, since 2×34802482502 = 24224255763256125000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124572 + ... + 149928.

Almost surely, 23480248250 is an apocalyptic number.

3480248250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480248250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782620232).

3480248250 is an abundant number, since it is smaller than the sum of its proper divisors (6084992214).

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

3480248250 is a wasteful number, since it uses less digits than its factorization.

3480248250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25441 (or 25428 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3480248250 is about 58993.6288932966. The cubic root of 3480248250 is about 1515.4330037021.

The spelling of 3480248250 in words is "three billion, four hundred eighty million, two hundred forty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 125 150 183 225 250 305 366 375 450 549 610 750 915 1098 1125 1525 1830 2250 2745 3050 4575 5490 7625 9150 13725 15250 22875 25357 27450 45750 50714 68625 76071 126785 137250 152142 228213 253570 380355 456426 633925 760710 1141065 1267850 1546777 1901775 2282130 3093554 3169625 3803550 4640331 5705325 6339250 7733885 9280662 9508875 11410650 13920993 15467770 19017750 23201655 27841986 28526625 38669425 46403310 57053250 69604965 77338850 116008275 139209930 193347125 232016550 348024825 386694250 580041375 696049650 1160082750 1740124125 3480248250