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4342314100 = 2252412634027
BaseRepresentation
bin1000000101101001…
…00111010001110100
3102012121211102010011
410002310213101310
532343113022400
61554514510004
7212415026605
oct40264472164
912177742104
104342314100
111929139943
12a12295304
13542816437
142d29bddac
151a63418ba
hex102d27474

4342314100 has 72 divisors (see below), whose sum is σ = 9691754688. Its totient is φ = 1687699200.

The previous prime is 4342314077. The next prime is 4342314113. The reversal of 4342314100 is 14132434.

It is a super-4 number, since 4×43423141004 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076287 + ... + 1080313.

It is an arithmetic number, because the mean of its divisors is an integer number (134607704).

Almost surely, 24342314100 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 4342314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845877344).

4342314100 is an abundant number, since it is smaller than the sum of its proper divisors (5349440588).

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

4342314100 is a wasteful number, since it uses less digits than its factorization.

4342314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4338 counting only the distinct ones).

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

The square root of 4342314100 is about 65896.2373736164. The cubic root of 4342314100 is about 1631.4499124254.

Adding to 4342314100 its reverse (14132434), we get a palindrome (4356446534).

The spelling of 4342314100 in words is "four billion, three hundred forty-two million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 263 410 526 820 1025 1052 1315 2050 2630 4027 4100 5260 6575 8054 10783 13150 16108 20135 21566 26300 40270 43132 53915 80540 100675 107830 165107 201350 215660 269575 330214 402700 539150 660428 825535 1059101 1078300 1651070 2118202 3302140 4127675 4236404 5295505 8255350 10591010 16510700 21182020 26477525 43423141 52955050 86846282 105910100 173692564 217115705 434231410 868462820 1085578525 2171157050 4342314100