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34001312331 = 373974078363
BaseRepresentation
bin11111101010101000…
…101101101001001011
310020202121110122000010
4133222220231221023
51024113313443311
623341530043003
72312404246320
oct375250555113
9106677418003
1034001312331
1113468944228
12670ab79463
13328b355c2c
141907a20b47
15d4005cda6
hex7eaa2da4b

34001312331 has 16 divisors (see below), whose sum is σ = 51942043904. Its totient is φ = 19380376224.

The previous prime is 34001312263. The next prime is 34001312339. The reversal of 34001312331 is 13321310043.

It is not a de Polignac number, because 34001312331 - 227 = 33867094603 is a prime.

It is a super-2 number, since 2×340013123312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34001312298 and 34001312307.

It is not an unprimeable number, because it can be changed into a prime (34001312339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2030845 + ... + 2047518.

It is an arithmetic number, because the mean of its divisors is an integer number (3246377744).

Almost surely, 234001312331 is an apocalyptic number.

34001312331 is a deficient number, since it is larger than the sum of its proper divisors (17940731573).

34001312331 is a wasteful number, since it uses less digits than its factorization.

34001312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078770.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 34001312331 its reverse (13321310043), we get a palindrome (47322622374).

The spelling of 34001312331 in words is "thirty-four billion, one million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 21 397 1191 2779 8337 4078363 12235089 28548541 85645623 1619110111 4857330333 11333770777 34001312331