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3134420120 = 23513192811129
BaseRepresentation
bin1011101011010011…
…0111010010011000
322002102222001002002
42322310313102120
522404402420440
61235005300132
7140450063036
oct27264672230
98072861062
103134420120
111369331257
12735864648
133ac4b9b80
1421a3d7556
15135297115
hexbad37498

3134420120 has 128 divisors (see below), whose sum is σ = 8030232000. Its totient is φ = 1091543040.

The previous prime is 3134420077. The next prime is 3134420129. The reversal of 3134420120 is 210244313.

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

It is a junction number, because it is equal to n+sod(n) for n = 3134420092 and 3134420101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134420129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775716 + ... + 2776844.

Almost surely, 23134420120 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 3134420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015116000).

3134420120 is an abundant number, since it is smaller than the sum of its proper divisors (4895811880).

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

3134420120 is a wasteful number, since it uses less digits than its factorization.

3134420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

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

The square root of 3134420120 is about 55985.8921515055. The cubic root of 3134420120 is about 1463.4764406835.

Adding to 3134420120 its reverse (210244313), we get a palindrome (3344664433).

The spelling of 3134420120 in words is "three billion, one hundred thirty-four million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 281 380 494 520 562 760 988 1124 1129 1235 1405 1976 2248 2258 2470 2810 3653 4516 4940 5339 5620 5645 7306 9032 9880 10678 11240 11290 14612 14677 18265 21356 21451 22580 26695 29224 29354 36530 42712 42902 45160 53390 58708 69407 73060 73385 85804 106780 107255 117416 138814 146120 146770 171608 213560 214510 277628 278863 293540 317249 347035 429020 555256 557726 587080 634498 694070 858040 1115452 1268996 1388140 1394315 1586245 2230904 2537992 2776280 2788630 3172490 4124237 5577260 6027731 6344980 8248474 11154520 12055462 12689960 16496948 20621185 24110924 30138655 32993896 41242370 48221848 60277310 78360503 82484740 120554620 156721006 164969480 241109240 313442012 391802515 626884024 783605030 1567210060 3134420120