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3142274400 = 253252436427
BaseRepresentation
bin1011101101001011…
…0100110101100000
322002222202002010100
42323102310311200
522413410240100
61235445502400
7140603614566
oct27322646540
98088662110
103142274400
1113728062a1
12738411a00
133b1009b85
1421b47da36
15135ce9400
hexbb4b4d60

3142274400 has 108 divisors (see below), whose sum is σ = 11080470492. Its totient is φ = 837937920.

The previous prime is 3142274393. The next prime is 3142274411. The reversal of 3142274400 is 44722413.

3142274400 is a `hidden beast` number, since 31 + 4 + 227 + 4 + 400 = 666.

3142274400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211014 + ... + 225413.

It is an arithmetic number, because the mean of its divisors is an integer number (102596949).

Almost surely, 23142274400 is an apocalyptic number.

3142274400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142274400 is an abundant number, since it is smaller than the sum of its proper divisors (7938196092).

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

3142274400 is a wasteful number, since it uses less digits than its factorization.

3142274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436453 (or 436437 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3142274400 is about 56055.9934351359. The cubic root of 3142274400 is about 1464.6978219452.

Adding to 3142274400 its reverse (44722413), we get a palindrome (3186996813).

The spelling of 3142274400 in words is "three billion, one hundred forty-two million, two hundred seventy-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 436427 872854 1309281 1745708 2182135 2618562 3491416 3927843 4364270 5237124 6546405 6982832 7855686 8728540 10474248 10910675 13092810 13965664 15711372 17457080 19639215 20948496 21821350 26185620 31422744 32732025 34914160 39278430 41896992 43642700 52371240 62845488 65464050 69828320 78556860 87285400 98196075 104742480 125690976 130928100 157113720 174570800 196392150 209484960 261856200 314227440 349141600 392784300 523712400 628454880 785568600 1047424800 1571137200 3142274400