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3423938496 = 263111739371
BaseRepresentation
bin1100110000010101…
…0010011111000000
322211121202002121220
43030011102133000
524003012012441
61323430515040
7150563665656
oct31405223700
98747662556
103423938496
1114a77a6740
127b6805a80
13427487b14
14246a3cdd6
151508d5466
hexcc1527c0

3423938496 has 112 divisors (see below), whose sum is σ = 9940917888. Its totient is φ = 1031449600.

The previous prime is 3423938477. The next prime is 3423938501. The reversal of 3423938496 is 6948393243.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 360691 + ... + 370061.

Almost surely, 23423938496 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 3423938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970458944).

3423938496 is an abundant number, since it is smaller than the sum of its proper divisors (6516979392).

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

3423938496 is a wasteful number, since it uses less digits than its factorization.

3423938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9560 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The square root of 3423938496 is about 58514.4298100904. The cubic root of 3423938496 is about 1507.2153840596.

The spelling of 3423938496 in words is "three billion, four hundred twenty-three million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 173 176 192 264 346 352 519 528 692 704 1038 1056 1384 1903 2076 2112 2768 3806 4152 5536 5709 7612 8304 9371 11072 11418 15224 16608 18742 22836 28113 30448 33216 37484 45672 56226 60896 74968 91344 103081 112452 121792 149936 182688 206162 224904 299872 309243 365376 412324 449808 599744 618486 824648 899616 1236972 1621183 1649296 1799232 2473944 3242366 3298592 4863549 4947888 6484732 6597184 9727098 9895776 12969464 17833013 19454196 19791552 25938928 35666026 38908392 51877856 53499039 71332052 77816784 103755712 106998078 142664104 155633568 213996156 285328208 311267136 427992312 570656416 855984624 1141312832 1711969248 3423938496