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34340604300 = 223252174721841
BaseRepresentation
bin11111111110110111…
…000000100110001100
310021122020220110002100
4133332313000212030
51030312143314200
623435330155100
72323664214612
oct377667004614
9107566813070
1034340604300
1113622415312
1267a4722a90
133313730202
14193ab016b2
15d5ec2dd00
hex7fedc098c

34340604300 has 108 divisors (see below), whose sum is σ = 107705260936. Its totient is φ = 9151833600.

The previous prime is 34340604241. The next prime is 34340604307. The reversal of 34340604300 is 340604343.

It is not an unprimeable number, because it can be changed into a prime (34340604307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1561380 + ... + 1583220.

Almost surely, 234340604300 is an apocalyptic number.

34340604300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340604300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53852630468).

34340604300 is an abundant number, since it is smaller than the sum of its proper divisors (73364656636).

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

34340604300 is a wasteful number, since it uses less digits than its factorization.

34340604300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23608 (or 23598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The spelling of 34340604300 in words is "thirty-four billion, three hundred forty million, six hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1747 3494 5241 6988 8735 10482 15723 17470 20964 21841 26205 31446 34940 43675 43682 52410 62892 65523 78615 87350 87364 104820 109205 131025 131046 157230 174700 196569 218410 262050 262092 314460 327615 393075 393138 436820 524100 546025 655230 786150 786276 982845 1092050 1310460 1572300 1638075 1965690 2184100 3276150 3931380 4914225 6552300 9828450 19656900 38156227 76312454 114468681 152624908 190781135 228937362 343406043 381562270 457874724 572343405 686812086 763124540 953905675 1144686810 1373624172 1717030215 1907811350 2289373620 2861717025 3434060430 3815622700 5723434050 6868120860 8585151075 11446868100 17170302150 34340604300