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3392143552 = 267174191063
BaseRepresentation
bin1100101000110000…
…0000000011000000
322202101220202011101
43022030000003000
523421342043202
61320333224144
7150026513230
oct31214000300
98671822141
103392143552
11149085a726
127a8032054
13420a04b45
14242723cc0
1514cc04887
hexca3000c0

3392143552 has 112 divisors (see below), whose sum is σ = 8172541440. Its totient is φ = 1363709952.

The previous prime is 3392143529. The next prime is 3392143553. The reversal of 3392143552 is 2553412933.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3392143553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3190573 + ... + 3191635.

It is an arithmetic number, because the mean of its divisors is an integer number (72969120).

Almost surely, 23392143552 is an apocalyptic number.

3392143552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086270720).

3392143552 is an abundant number, since it is smaller than the sum of its proper divisors (4780397888).

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

3392143552 is a wasteful number, since it uses less digits than its factorization.

3392143552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

The square root of 3392143552 is about 58242.1115001852. Note that the first 3 decimals coincide. The cubic root of 3392143552 is about 1502.5354972358.

The spelling of 3392143552 in words is "three billion, three hundred ninety-two million, one hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 419 448 476 544 838 952 1063 1088 1676 1904 2126 2933 3352 3808 4252 5866 6704 7123 7441 7616 8504 11732 13408 14246 14882 17008 18071 23464 26816 28492 29764 34016 36142 46928 49861 56984 59528 68032 72284 93856 99722 113968 119056 126497 144568 187712 199444 227936 238112 252994 289136 398888 445397 455872 476224 505988 578272 797776 890794 1011976 1156544 1595552 1781588 2023952 3117779 3191104 3563176 4047904 6235558 7126352 7571749 8095808 12471116 14252704 15143498 24942232 28505408 30286996 49884464 53002243 60573992 99768928 106004486 121147984 199537856 212008972 242295968 424017944 484591936 848035888 1696071776 3392143552