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2342414000 = 24531171207
BaseRepresentation
bin1000101110011110…
…0110011010110000
320001020122221221002
42023213212122300
514244124222000
61024234021132
7112022122223
oct21347463260
96036587832
102342414000
11aa2260343
125545777a8
132b43a56b4
1418314d5ba
15da99d8d5
hex8b9e66b0

2342414000 has 40 divisors (see below), whose sum is σ = 5663961888. Its totient is φ = 936964800.

The previous prime is 2342413979. The next prime is 2342414057. The reversal of 2342414000 is 4142432.

2342414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583604 + ... + 587603.

Almost surely, 22342414000 is an apocalyptic number.

2342414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342414000 is an abundant number, since it is smaller than the sum of its proper divisors (3321547888).

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

2342414000 is a wasteful number, since it uses less digits than its factorization.

2342414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171230 (or 1171214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2342414000 is about 48398.4917120358. The cubic root of 2342414000 is about 1328.0707702886.

Adding to 2342414000 its reverse (4142432), we get a palindrome (2346556432).

The spelling of 2342414000 in words is "two billion, three hundred forty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1171207 2342414 4684828 5856035 9369656 11712070 18739312 23424140 29280175 46848280 58560350 93696560 117120700 146400875 234241400 292801750 468482800 585603500 1171207000 2342414000