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34241312004 = 223191013314821
BaseRepresentation
bin11111111000111100…
…001111010100000100
310021101100001212122220
4133320330033110010
51030111233441004
623421422052340
72321350230654
oct377074172404
9107340055586
1034241312004
1113581367569
12677741a0b0
1332c8ca6883
14192b856364
15d56168dd9
hex7f8f0f504

34241312004 has 48 divisors (see below), whose sum is σ = 84115442880. Its totient is φ = 10811249280.

The previous prime is 34241311967. The next prime is 34241312009. The reversal of 34241312004 is 40021314243.

It is not an unprimeable number, because it can be changed into a prime (34241312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302914 + ... + 2317734.

It is an arithmetic number, because the mean of its divisors is an integer number (1752405060).

Almost surely, 234241312004 is an apocalyptic number.

It is an amenable number.

34241312004 is an abundant number, since it is smaller than the sum of its proper divisors (49874130876).

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

34241312004 is a wasteful number, since it uses less digits than its factorization.

34241312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24980 (or 24978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34241312004 its reverse (40021314243), we get a palindrome (74262626247).

The spelling of 34241312004 in words is "thirty-four billion, two hundred forty-one million, three hundred twelve thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 10133 14821 20266 29642 30399 40532 44463 59284 60798 88926 121596 177852 192527 281599 385054 563198 577581 770108 844797 1126396 1155162 1689594 2310324 3379188 150181193 300362386 450543579 600724772 901087158 1802174316 2853442667 5706885334 8560328001 11413770668 17120656002 34241312004