Search a number
-
+
3439376250 = 23541753951
BaseRepresentation
bin1100110100000000…
…1011011101111010
322212200210102020120
43031000023131322
524020440020000
61325141434110
7151142134002
oct31500133572
98780712216
103439376250
111505490312
127bba0b936
1342a73179b
14248adb002
15151e346a0
hexcd00b77a

3439376250 has 80 divisors (see below), whose sum is σ = 9101486592. Its totient is φ = 863200000.

The previous prime is 3439376243. The next prime is 3439376261. The reversal of 3439376250 is 526739343.

3439376250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34393762503 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36775 + ... + 90725.

Almost surely, 23439376250 is an apocalyptic number.

3439376250 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 3439376250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550743296).

3439376250 is an abundant number, since it is smaller than the sum of its proper divisors (5662110342).

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

3439376250 is a wasteful number, since it uses less digits than its factorization.

3439376250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53993 (or 53978 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The square root of 3439376250 is about 58646.1955287809. The cubic root of 3439376250 is about 1509.4772176787.

The spelling of 3439376250 in words is "three billion, four hundred thirty-nine million, three hundred seventy-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 170 250 255 375 425 510 625 750 850 1250 1275 1875 2125 2550 3750 4250 6375 10625 12750 21250 31875 53951 63750 107902 161853 269755 323706 539510 809265 917167 1348775 1618530 1834334 2697550 2751501 4046325 4585835 5503002 6743875 8092650 9171670 13487750 13757505 20231625 22929175 27515010 33719375 40463250 45858350 67438750 68787525 101158125 114645875 137575050 202316250 229291750 343937625 573229375 687875250 1146458750 1719688125 3439376250