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3417125130 = 23454789759
BaseRepresentation
bin1100101110101101…
…0011000100001010
322211010220221110000
43023223103010022
523444241001010
61323024503430
7150452040636
oct31353230412
98733827400
103417125130
1114a3972761
127b447ab76
13425c40843
14245b87dc6
1514eedb7c0
hexcbad310a

3417125130 has 80 divisors (see below), whose sum is σ = 9383869440. Its totient is φ = 891835488.

The previous prime is 3417125093. The next prime is 3417125147. The reversal of 3417125130 is 315217143.

3417125130 is a `hidden beast` number, since 341 + 71 + 251 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3417125094 and 3417125103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6810 + ... + 82949.

It is an arithmetic number, because the mean of its divisors is an integer number (117298368).

Almost surely, 23417125130 is an apocalyptic number.

3417125130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3417125130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691934720).

3417125130 is an abundant number, since it is smaller than the sum of its proper divisors (5966744310).

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

3417125130 is a wasteful number, since it uses less digits than its factorization.

3417125130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89825 (or 89816 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3417125130 is about 58456.1812813666. The cubic root of 3417125130 is about 1506.2149738359.

The spelling of 3417125130 in words is "three billion, four hundred seventeen million, one hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2115 2538 3807 4230 6345 7614 12690 19035 38070 89759 179518 269277 448795 538554 807831 897590 1346385 1615662 2423493 2692770 4039155 4218673 4846986 7270479 8078310 8437346 12117465 12656019 14540958 21093365 24234930 25312038 36352395 37968057 42186730 63280095 72704790 75936114 113904171 126560190 189840285 227808342 341712513 379680570 569520855 683425026 1139041710 1708562565 3417125130