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3123424344 = 233319294519
BaseRepresentation
bin1011101000101011…
…1010110001011000
322001200021101201010
42322022322301120
522344044034334
61233533453520
7140254445265
oct27212726130
98050241633
103123424344
111363100a37
127320412a0
133aa139cb1
14218b7426c
151343240e9
hexba2bac58

3123424344 has 64 divisors (see below), whose sum is σ = 8070912000. Its totient is φ = 1006248960.

The previous prime is 3123424303. The next prime is 3123424361. The reversal of 3123424344 is 4434243213.

It is a happy number.

3123424344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688917 + ... + 693435.

It is an arithmetic number, because the mean of its divisors is an integer number (126108000).

Almost surely, 23123424344 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 3123424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035456000).

3123424344 is an abundant number, since it is smaller than the sum of its proper divisors (4947487656).

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

3123424344 is a wasteful number, since it uses less digits than its factorization.

3123424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5484 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 3123424344 is about 55887.6045648765. The cubic root of 3123424344 is about 1461.7631080051.

Adding to 3123424344 its reverse (4434243213), we get a palindrome (7557667557).

The spelling of 3123424344 in words is "three billion, one hundred twenty-three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 929 1858 2787 3716 4519 5574 7432 9038 11148 13557 18076 22296 27114 28799 36152 54228 57598 86397 108456 115196 140089 172794 230392 280178 345588 420267 560356 691176 840534 1120712 1681068 3362136 4198151 8396302 12594453 16792604 25188906 33585208 50377812 100755624 130142681 260285362 390428043 520570724 780856086 1041141448 1561712172 3123424344