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34001610030 = 2335314062319
BaseRepresentation
bin11111101010101001…
…110110010100101110
310020202122000202101000
4133222221312110232
51024113403010110
623341540301130
72312406626253
oct375251662456
9106678022330
1034001610030
1113469027963
12670b0a17a6
13328b42b59b
141907a9b42a
15d400bb1c0
hex7eaa7652e

34001610030 has 64 divisors (see below), whose sum is σ = 93595852800. Its totient is φ = 8774606880.

The previous prime is 34001610011. The next prime is 34001610043. The reversal of 34001610030 is 3001610043.

It is a super-2 number, since 2×340016100302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34001609985 and 34001610012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022790 + ... + 2039529.

It is an arithmetic number, because the mean of its divisors is an integer number (1462435200).

Almost surely, 234001610030 is an apocalyptic number.

34001610030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34001610030 is an abundant number, since it is smaller than the sum of its proper divisors (59594242770).

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

34001610030 is a wasteful number, since it uses less digits than its factorization.

34001610030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062366 (or 4062360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 34001610030 in words is "thirty-four billion, one million, six hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 4062319 8124638 12186957 20311595 24373914 36560871 40623190 60934785 73121742 109682613 121869570 125931889 182804355 219365226 251863778 365608710 377795667 548413065 629659445 755591334 1096826130 1133387001 1259318890 1888978335 2266774002 3400161003 3777956670 5666935005 6800322006 11333870010 17000805015 34001610030