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3143010400 = 255219210883
BaseRepresentation
bin1011101101010110…
…1000100001100000
322010001010110201121
42323111220201200
522414102313100
61235513342024
7140613101425
oct27325504140
98101113647
103143010400
111373169262
12738707914
133b1206b8a
1421b5d1d4c
15135de251a
hexbb568860

3143010400 has 108 divisors (see below), whose sum is σ = 8098708212. Its totient is φ = 1190926080.

The previous prime is 3143010389. The next prime is 3143010407. The reversal of 3143010400 is 40103413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143010407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 283359 + ... + 294241.

It is an arithmetic number, because the mean of its divisors is an integer number (74988039).

Almost surely, 23143010400 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 3143010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049354106).

3143010400 is an abundant number, since it is smaller than the sum of its proper divisors (4955697812).

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

3143010400 is a wasteful number, since it uses less digits than its factorization.

3143010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3143010400 is about 56062.5579152432. The cubic root of 3143010400 is about 1464.8121694214.

Adding to 3143010400 its reverse (40103413), we get a palindrome (3183113813).

The spelling of 3143010400 in words is "three billion, one hundred forty-three million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 361 380 400 475 608 722 760 800 950 1444 1520 1805 1900 2888 3040 3610 3800 5776 7220 7600 9025 10883 11552 14440 15200 18050 21766 28880 36100 43532 54415 57760 72200 87064 108830 144400 174128 206777 217660 272075 288800 348256 413554 435320 544150 827108 870640 1033885 1088300 1654216 1741280 2067770 2176600 3308432 3928763 4135540 4353200 5169425 6616864 7857526 8271080 8706400 10338850 15715052 16542160 19643815 20677700 31430104 33084320 39287630 41355400 62860208 78575260 82710800 98219075 125720416 157150520 165421600 196438150 314301040 392876300 628602080 785752600 1571505200 3143010400