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34300032140 = 22511218178307
BaseRepresentation
bin11111111100011100…
…001111010010001100
310021112102120011112202
4133330130033102030
51030221302012030
623431320421032
72322662314463
oct377434172214
9107472504482
1034300032140
1113601523900
126793017778
1333081c610a
14193557d9da
15d5b3b7745
hex7fc70f48c

34300032140 has 72 divisors (see below), whose sum is σ = 79611984816. Its totient is φ = 12403670400.

The previous prime is 34300032121. The next prime is 34300032223. The reversal of 34300032140 is 4123000343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398867 + ... + 477173.

Almost surely, 234300032140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34300032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39805992408).

34300032140 is an abundant number, since it is smaller than the sum of its proper divisors (45311952676).

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

34300032140 is a wasteful number, since it uses less digits than its factorization.

34300032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78519 (or 78506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34300032140 its reverse (4123000343), we get a palindrome (38423032483).

The spelling of 34300032140 in words is "thirty-four billion, three hundred million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 181 220 242 362 484 605 724 905 1210 1810 1991 2420 3620 3982 7964 9955 19910 21901 39820 43802 78307 87604 109505 156614 219010 313228 391535 438020 783070 861377 1566140 1722754 3445508 4306885 8613770 9475147 14173567 17227540 18950294 28347134 37900588 47375735 56694268 70867835 94751470 141735670 155909237 189502940 283471340 311818474 623636948 779546185 1559092370 1715001607 3118184740 3430003214 6860006428 8575008035 17150016070 34300032140