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3134245120 = 28517144037
BaseRepresentation
bin1011101011010000…
…1100100100000000
322002102122011000121
42322310030210000
522404331320440
61235001430024
7140445433606
oct27264144400
98072564017
103134245120
111369221826
1273579b314
133ac458316
1421a38d876
1513526034a
hexbad0c900

3134245120 has 72 divisors (see below), whose sum is σ = 7949169144. Its totient is φ = 1179942912.

The previous prime is 3134245117. The next prime is 3134245133. The reversal of 3134245120 is 215424313.

It can be written as a sum of positive squares in 4 ways, for example, as 76597504 + 3057647616 = 8752^2 + 55296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50259 + ... + 93778.

It is an arithmetic number, because the mean of its divisors is an integer number (110405127).

Almost surely, 23134245120 is an apocalyptic number.

It is an amenable number.

3134245120 is an abundant number, since it is smaller than the sum of its proper divisors (4814924024).

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

3134245120 is a wasteful number, since it uses less digits than its factorization.

3134245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144075 (or 144061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3134245120 is about 55984.3292359567. The cubic root of 3134245120 is about 1463.4492040513.

Adding to 3134245120 its reverse (215424313), we get a palindrome (3349669433).

The spelling of 3134245120 in words is "three billion, one hundred thirty-four million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 144037 288074 576148 720185 1152296 1440370 2304592 2448629 2880740 4609184 4897258 5761480 9218368 9794516 11522960 12243145 18436736 19589032 23045920 24486290 36873472 39178064 46091840 48972580 78356128 92183680 97945160 156712256 184367360 195890320 313424512 391780640 626849024 783561280 1567122560 3134245120