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3420301000 = 235315122651
BaseRepresentation
bin1100101111011101…
…1010011011001000
322211100220021220211
43023313122123020
524001044113000
61323220530504
7150521036014
oct31367323310
98740807824
103420301000
1114a5741846
127b5550a34
134267b325c
14246373544
151504177ba
hexcbdda6c8

3420301000 has 64 divisors (see below), whose sum is σ = 8056863360. Its totient is φ = 1359000000.

The previous prime is 3420300991. The next prime is 3420301007. The reversal of 3420301000 is 1030243.

It is not an unprimeable number, because it can be changed into a prime (3420301007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139675 + ... + 162325.

It is an arithmetic number, because the mean of its divisors is an integer number (125888490).

Almost surely, 23420301000 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 3420301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028431680).

3420301000 is an abundant number, since it is smaller than the sum of its proper divisors (4636562360).

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

3420301000 is a wasteful number, since it uses less digits than its factorization.

3420301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22823 (or 22809 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3420301000 is about 58483.3395079317. The cubic root of 3420301000 is about 1506.6814538537.

Adding to 3420301000 its reverse (1030243), we get a palindrome (3421331243).

The spelling of 3420301000 in words is "three billion, four hundred twenty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 755 1000 1208 1510 3020 3775 6040 7550 15100 18875 22651 30200 37750 45302 75500 90604 113255 151000 181208 226510 453020 566275 906040 1132550 2265100 2831375 3420301 4530200 5662750 6840602 11325500 13681204 17101505 22651000 27362408 34203010 68406020 85507525 136812040 171015050 342030100 427537625 684060200 855075250 1710150500 3420301000