Search a number
-
+
3415520250 = 233531074729
BaseRepresentation
bin1100101110010100…
…1011001111111010
322211000220101222000
43023211023033322
523443333122000
61322530241430
7150432304662
oct31345131772
98730811860
103415520250
1114a2a76a0a
127b3a26276
134257cb1cc
1424588b1a2
1514ecc1000
hexcb94b3fa

3415520250 has 128 divisors (see below), whose sum is σ = 9562924800. Its totient is φ = 902102400.

The previous prime is 3415520243. The next prime is 3415520267. The reversal of 3415520250 is 520255143.

It is a happy number.

3415520250 is a `hidden beast` number, since 341 + 55 + 20 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719886 + ... + 724614.

It is an arithmetic number, because the mean of its divisors is an integer number (74710350).

Almost surely, 23415520250 is an apocalyptic number.

3415520250 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 3415520250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781462400).

3415520250 is an abundant number, since it is smaller than the sum of its proper divisors (6147404550).

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

3415520250 is a wasteful number, since it uses less digits than its factorization.

3415520250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3415520250 is about 58442.4524639410. The cubic root of 3415520250 is about 1505.9791349627.

Adding to 3415520250 its reverse (520255143), we get a palindrome (3935775393).

The spelling of 3415520250 in words is "three billion, four hundred fifteen million, five hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 107 125 135 150 214 225 250 270 321 375 450 535 642 675 750 963 1070 1125 1350 1605 1926 2250 2675 2889 3210 3375 4729 4815 5350 5778 6750 8025 9458 9630 13375 14187 14445 16050 23645 24075 26750 28374 28890 40125 42561 47290 48150 70935 72225 80250 85122 118225 120375 127683 141870 144450 212805 236450 240750 255366 354675 361125 425610 506003 591125 638415 709350 722250 1012006 1064025 1182250 1276830 1518009 1773375 2128050 2530015 3036018 3192075 3546750 4554027 5060030 5320125 6384150 7590045 9108054 10640250 12650075 13662081 15180090 15960375 22770135 25300150 27324162 31920750 37950225 45540270 63250375 68310405 75900450 113850675 126500750 136620810 189751125 227701350 341552025 379502250 569253375 683104050 1138506750 1707760125 3415520250