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3490261360 = 245294732009
BaseRepresentation
bin1101000000001001…
…0010100101110000
3100000020112122111021
43100002102211300
524122001330420
61334200225224
7152330506045
oct32002224560
910006478437
103490261360
111531186023
12814a6b214
13438139a11
142517851cc
151566367aa
hexd0092970

3490261360 has 80 divisors (see below), whose sum is σ = 8573558400. Its totient is φ = 1319241728.

The previous prime is 3490261349. The next prime is 3490261391. The reversal of 3490261360 is 631620943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34902613602 = 24363848722218099200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93036 + ... + 125044.

It is an arithmetic number, because the mean of its divisors is an integer number (107169480).

Almost surely, 23490261360 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 3490261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286779200).

3490261360 is an abundant number, since it is smaller than the sum of its proper divisors (5083297040).

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

3490261360 is a wasteful number, since it uses less digits than its factorization.

3490261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32098 (or 32092 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 3490261360 is about 59078.4339670577. The cubic root of 3490261360 is about 1516.8849755925.

The spelling of 3490261360 in words is "three billion, four hundred ninety million, two hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 47 58 80 94 116 145 188 232 235 290 376 464 470 580 752 940 1160 1363 1880 2320 2726 3760 5452 6815 10904 13630 21808 27260 32009 54520 64018 109040 128036 160045 256072 320090 512144 640180 928261 1280360 1504423 1856522 2560720 3008846 3713044 4641305 6017692 7426088 7522115 9282610 12035384 14852176 15044230 18565220 24070768 30088460 37130440 43628267 60176920 74260880 87256534 120353840 174513068 218141335 349026136 436282670 698052272 872565340 1745130680 3490261360