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3142234100 = 2252172963737
BaseRepresentation
bin1011101101001010…
…1010111111110100
322002222200000211202
42323102222333310
522413402442400
61235444552032
7140603356235
oct27322527764
98088600752
103142234100
111372788a95
127383b2618
133b0cc4725
1421b46d08c
15135cdc4d5
hexbb4aaff4

3142234100 has 72 divisors (see below), whose sum is σ = 7468818840. Its totient is φ = 1142149120.

The previous prime is 3142234099. The next prime is 3142234103. The reversal of 3142234100 is 14322413.

It can be written as a sum of positive squares in 12 ways, for example, as 1470569104 + 1671664996 = 38348^2 + 40886^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142234103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17432 + ... + 81168.

It is an arithmetic number, because the mean of its divisors is an integer number (103733595).

Almost surely, 23142234100 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 3142234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734409420).

3142234100 is an abundant number, since it is smaller than the sum of its proper divisors (4326584740).

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

3142234100 is a wasteful number, since it uses less digits than its factorization.

3142234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63797 (or 63790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3142234100 is about 56055.6339719747. The cubic root of 3142234100 is about 1464.6915602839.

Adding to 3142234100 its reverse (14322413), we get a palindrome (3156556513).

The spelling of 3142234100 in words is "three billion, one hundred forty-two million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 63737 127474 254948 318685 637370 1083529 1274740 1593425 1848373 2167058 3186850 3696746 4334116 5417645 6373700 7393492 9241865 10835290 18483730 21670580 27088225 31422341 36967460 46209325 54176450 62844682 92418650 108352900 125689364 157111705 184837300 314223410 628446820 785558525 1571117050 3142234100