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3442121320 = 2351119411737
BaseRepresentation
bin1100110100101010…
…1001101001101000
322212212221212202211
43031022221221220
524022140340240
61325320334504
7151204356061
oct31512515150
98785855684
103442121320
111506a95770
12800914434
1342b1830a1
14249213568
151522c7bea
hexcd2a9a68

3442121320 has 64 divisors (see below), whose sum is σ = 8893540800. Its totient is φ = 1185799680.

The previous prime is 3442121311. The next prime is 3442121323. The reversal of 3442121320 is 231212443.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3442121291 and 3442121300.

It is not an unprimeable number, because it can be changed into a prime (3442121323) 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, 197509 + ... + 214228.

It is an arithmetic number, because the mean of its divisors is an integer number (138961575).

Almost surely, 23442121320 is an apocalyptic number.

It is an amenable number.

3442121320 is an abundant number, since it is smaller than the sum of its proper divisors (5451419480).

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

3442121320 is a wasteful number, since it uses less digits than its factorization.

3442121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411778 (or 411774 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3442121320 is about 58669.5945102742. The cubic root of 3442121320 is about 1509.8786973299.

Adding to 3442121320 its reverse (231212443), we get a palindrome (3673333763).

The spelling of 3442121320 in words is "three billion, four hundred forty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 411737 823474 1646948 2058685 3293896 4117370 4529107 7823003 8234740 9058214 15646006 16469480 18116428 22645535 31292012 36232856 39115015 45291070 62584024 78230030 86053033 90582140 156460060 172106066 181164280 312920120 344212132 430265165 688424264 860530330 1721060660 3442121320