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BaseRepresentation
bin1001000110010000…
…0000001001010100
320022012022021012010
42101210000021110
520000141242400
61042155224220
7114342540330
oct22144001124
96265267163
102442134100
11104358054a
12581a48070
132cbc4b983
141924aa7c0
15e45ea450
hex91900254

2442134100 has 288 divisors, whose sum is σ = 8359464960. Its totient is φ = 538928640.

The previous prime is 2442134083. The next prime is 2442134119. The reversal of 2442134100 is 14312442.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10758187 + ... + 10758413.

It is an arithmetic number, because the mean of its divisors is an integer number (29025920).

Almost surely, 22442134100 is an apocalyptic number.

2442134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2442134100 is an abundant number, since it is smaller than the sum of its proper divisors (5917330860).

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

2442134100 is a wasteful number, since it uses less digits than its factorization.

2442134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2442134100 is about 49417.9532154054. The cubic root of 2442134100 is about 1346.6554796258.

Adding to 2442134100 its reverse (14312442), we get a palindrome (2456446542).

The spelling of 2442134100 in words is "two billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred".