Search a number
-
+
32378445330 = 23571143332371
BaseRepresentation
bin11110001001111001…
…111101111000010010
310002120111202102222220
4132021321331320102
51012302340222310
622512514241510
72224240146540
oct361171757022
9102514672886
1032378445330
1112805874230
126337586296
133090074aba
1417d2296d90
15c97843670
hex789e7de12

32378445330 has 128 divisors (see below), whose sum is σ = 97109784576. Its totient is φ = 6712243200.

The previous prime is 32378445317. The next prime is 32378445353. The reversal of 32378445330 is 3354487323.

It is a super-5 number, since 5×323784453305 (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984045 + ... + 1016415.

It is an arithmetic number, because the mean of its divisors is an integer number (758670192).

Almost surely, 232378445330 is an apocalyptic number.

32378445330 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 32378445330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48554892288).

32378445330 is an abundant number, since it is smaller than the sum of its proper divisors (64731339246).

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

32378445330 is a wasteful number, since it uses less digits than its factorization.

32378445330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32832.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 32378445330 in words is "thirty-two billion, three hundred seventy-eight million, four hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 433 462 770 866 1155 1299 2165 2310 2598 3031 4330 4763 6062 6495 9093 9526 12990 14289 15155 18186 23815 28578 30310 32371 33341 45465 47630 64742 66682 71445 90930 97113 100023 142890 161855 166705 194226 200046 226597 323710 333410 356081 453194 485565 500115 679791 712162 971130 1000230 1068243 1132985 1359582 1780405 2136486 2265970 2492567 3398955 3560810 4985134 5341215 6797910 7477701 10682430 12462835 14016643 14955402 24925670 28033286 37388505 42049929 70083215 74777010 84099858 98116501 140166430 154183073 196233002 210249645 294349503 308366146 420499290 462549219 490582505 588699006 770915365 925098438 981165010 1079281511 1471747515 1541830730 2158563022 2312746095 2943495030 3237844533 4625492190 5396407555 6475689066 10792815110 16189222665 32378445330