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3490137450 = 233525348779
BaseRepresentation
bin1101000000000111…
…0100010101101010
3100000020022100112000
43100001310111222
524121433344300
61334153431430
7152326451562
oct32001642552
910006270460
103490137450
111531100a18
12814a0b576
134380c54b7
14251751da2
1515660ec00
hexd007456a

3490137450 has 96 divisors (see below), whose sum is σ = 9798926400. Its totient is φ = 913124160.

The previous prime is 3490137439. The next prime is 3490137463. The reversal of 3490137450 is 547310943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47161 + ... + 95939.

It is an arithmetic number, because the mean of its divisors is an integer number (102072150).

Almost surely, 23490137450 is an apocalyptic number.

3490137450 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 3490137450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899463200).

3490137450 is an abundant number, since it is smaller than the sum of its proper divisors (6308788950).

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

3490137450 is a wasteful number, since it uses less digits than its factorization.

3490137450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48853 (or 48842 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3490137450 is about 59077.3852671223. The cubic root of 3490137450 is about 1516.8670247456.

The spelling of 3490137450 in words is "three billion, four hundred ninety million, one hundred thirty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 675 795 954 1325 1350 1431 1590 2385 2650 2862 3975 4770 7155 7950 11925 14310 23850 35775 48779 71550 97558 146337 243895 292674 439011 487790 731685 878022 1219475 1317033 1463370 2195055 2438950 2585287 2634066 3658425 4390110 5170574 6585165 7316850 7755861 10975275 12926435 13170330 15511722 21950550 23267583 25852870 32925825 38779305 46535166 64632175 65851650 69802749 77558610 116337915 129264350 139605498 193896525 232675830 349013745 387793050 581689575 698027490 1163379150 1745068725 3490137450