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34214021004 = 223139165712379
BaseRepresentation
bin11111110111010100…
…001000011110001100
310021022102201100110010
4133313110020132030
51030032242133004
623415005113220
72320566244242
oct376724103614
9107272640403
1034214021004
1113567a17419
12676a258810
1332c343c957
141927d90792
15d53a77a89
hex7f750878c

34214021004 has 48 divisors (see below), whose sum is σ = 80462076800. Its totient is φ = 11314878336.

The previous prime is 34214020991. The next prime is 34214021021. The reversal of 34214021004 is 40012041243.

It is an unprimeable number.

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, 2757687 + ... + 2770065.

Almost surely, 234214021004 is an apocalyptic number.

It is an amenable number.

34214021004 is an abundant number, since it is smaller than the sum of its proper divisors (46248055796).

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

34214021004 is a wasteful number, since it uses less digits than its factorization.

34214021004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14182 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34214021004 its reverse (40012041243), we get a palindrome (74226062247).

The spelling of 34214021004 in words is "thirty-four billion, two hundred fourteen million, twenty-one thousand, four".

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1657 1668 3314 4971 6628 9942 12379 19884 24758 37137 49516 74274 148548 230323 460646 690969 921292 1381938 1720681 2763876 3441362 5162043 6882724 10324086 20512003 20648172 41024006 61536009 82048012 123072018 246144036 2851168417 5702336834 8553505251 11404673668 17107010502 34214021004