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2024342120 = 235487103919
BaseRepresentation
bin111100010101001…
…0000001001101000
312020002011020100002
41320222100021220
513121212421440
6532512402132
7101110424033
oct17052201150
95202136302
102024342120
11949763219
12485b46348
1326351ac98
14152bd401a
15bcac0115
hex78a90268

2024342120 has 32 divisors (see below), whose sum is σ = 4564166400. Its totient is φ = 808066368.

The previous prime is 2024342107. The next prime is 2024342147. The reversal of 2024342120 is 212434202.

It is a super-2 number, since 2×20243421202 = 8195922037612188800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2024342092 and 2024342101.

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, 32480 + ... + 71439.

It is an arithmetic number, because the mean of its divisors is an integer number (142630200).

Almost surely, 22024342120 is an apocalyptic number.

2024342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024342120 is an abundant number, since it is smaller than the sum of its proper divisors (2539824280).

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

2024342120 is a wasteful number, since it uses less digits than its factorization.

2024342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104417 (or 104413 counting only the distinct ones).

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

The square root of 2024342120 is about 44992.6896284274. The cubic root of 2024342120 is about 1265.0119763274.

Adding to 2024342120 its reverse (212434202), we get a palindrome (2236776322).

The spelling of 2024342120 in words is "two billion, twenty-four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 487 974 1948 2435 3896 4870 9740 19480 103919 207838 415676 519595 831352 1039190 2078380 4156760 50608553 101217106 202434212 253042765 404868424 506085530 1012171060 2024342120