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34020420340 = 2253745973541
BaseRepresentation
bin11111101011110001…
…100110101011110100
310020210221102102021011
4133223301212223310
51024133211422330
623343451402004
72313025541644
oct375361465364
9106727372234
1034020420340
1113478705375
126715453304
1332922b634a
14190a396524
15d41a8482a
hex7ebc66af4

34020420340 has 24 divisors (see below), whose sum is σ = 73373773032. Its totient is φ = 13240379520.

The previous prime is 34020420337. The next prime is 34020420367. The reversal of 34020420340 is 4302402043.

It can be written as a sum of positive squares in 4 ways, for example, as 1812375184 + 32208045156 = 42572^2 + 179466^2 .

It is a super-2 number, since 2×340204203402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22986031 + ... + 22987510.

It is an arithmetic number, because the mean of its divisors is an integer number (3057240543).

Almost surely, 234020420340 is an apocalyptic number.

It is an amenable number.

34020420340 is an abundant number, since it is smaller than the sum of its proper divisors (39353352692).

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

34020420340 is a wasteful number, since it uses less digits than its factorization.

34020420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45973587 (or 45973585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 34020420340 its reverse (4302402043), we get a palindrome (38322822383).

The spelling of 34020420340 in words is "thirty-four billion, twenty million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 45973541 91947082 183894164 229867705 459735410 919470820 1701021017 3402042034 6804084068 8505105085 17010210170 34020420340