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3002420112 = 2432912971663
BaseRepresentation
bin1011001011110101…
…0100101110010000
321202020120202002220
42302331110232100
522122104420422
61213532141040
7134255102256
oct26275245620
97666522086
103002420112
11130087373a
126b9607780
1338b050c63
14206a765d6
151288c0e5c
hexb2f54b90

3002420112 has 80 divisors (see below), whose sum is σ = 8034723840. Its totient is φ = 964970496.

The previous prime is 3002420101. The next prime is 3002420117. The reversal of 3002420112 is 2110242003.

3002420112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3002420091 and 3002420100.

It is not an unprimeable number, because it can be changed into a prime (3002420117) 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, 1804593 + ... + 1806255.

It is an arithmetic number, because the mean of its divisors is an integer number (100434048).

Almost surely, 23002420112 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 3002420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017361920).

3002420112 is an abundant number, since it is smaller than the sum of its proper divisors (5032303728).

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

3002420112 is a wasteful number, since it uses less digits than its factorization.

3002420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3002420112 is about 54794.3437956875. The cubic root of 3002420112 is about 1442.6372889005.

Adding to 3002420112 its reverse (2110242003), we get a palindrome (5112662115).

The spelling of 3002420112 in words is "three billion, two million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1297 1392 1663 2594 3326 3891 4989 5188 6652 7782 9978 10376 13304 15564 19956 20752 26608 31128 37613 39912 48227 62256 75226 79824 96454 112839 144681 150452 192908 225678 289362 300904 385816 451356 578724 601808 771632 902712 1157448 1805424 2156911 2314896 4313822 6470733 8627644 12941466 17255288 25882932 34510576 51765864 62550419 103531728 125100838 187651257 250201676 375302514 500403352 750605028 1000806704 1501210056 3002420112