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3420123424 = 251915137253
BaseRepresentation
bin1100101111011010…
…1111000100100000
322211100120021022221
43023312233010200
524001022422144
61323213040424
7150516366214
oct31366570440
98740507287
103420123424
1114a5630393
127b5486114
13426750493
14246328944
151503ced84
hexcbdaf120

3420123424 has 48 divisors (see below), whose sum is σ = 7134886080. Its totient is φ = 1609286400.

The previous prime is 3420123419. The next prime is 3420123431. The reversal of 3420123424 is 4243210243.

It is a happy number.

3420123424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73182 + ... + 110434.

It is an arithmetic number, because the mean of its divisors is an integer number (148643460).

Almost surely, 23420123424 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 3420123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567443040).

3420123424 is an abundant number, since it is smaller than the sum of its proper divisors (3714762656).

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

3420123424 is a wasteful number, since it uses less digits than its factorization.

3420123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37433 (or 37425 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3420123424 is about 58481.8213122676. The cubic root of 3420123424 is about 1506.6553786539.

Adding to 3420123424 its reverse (4243210243), we get a palindrome (7663333667).

The spelling of 3420123424 in words is "three billion, four hundred twenty million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 151 152 302 304 604 608 1208 2416 2869 4832 5738 11476 22952 37253 45904 74506 91808 149012 298024 596048 707807 1192096 1415614 2831228 5625203 5662456 11250406 11324912 22500812 22649824 45001624 90003248 106878857 180006496 213757714 427515428 855030856 1710061712 3420123424