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34301133420 = 22353773211657
BaseRepresentation
bin11111111100100000…
…011100001001101100
310021112111122010012220
4133330200130021230
51030222042232140
623431400155340
72323004552301
oct377440341154
9107474563186
1034301133420
1113602106254
126793468b50
1333084c0468
1419357890a8
15d5b533bd0
hex7fc81c26c

34301133420 has 96 divisors (see below), whose sum is σ = 99990625728. Its totient is φ = 8777797632.

The previous prime is 34301133397. The next prime is 34301133473. The reversal of 34301133420 is 2433110343.

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, 56232 + ... + 267888.

It is an arithmetic number, because the mean of its divisors is an integer number (1041569018).

Almost surely, 234301133420 is an apocalyptic number.

34301133420 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 34301133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49995312864).

34301133420 is an abundant number, since it is smaller than the sum of its proper divisors (65689492308).

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

34301133420 is a wasteful number, since it uses less digits than its factorization.

34301133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211779 (or 211777 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34301133420 its reverse (2433110343), we get a palindrome (36734243763).

The spelling of 34301133420 in words is "thirty-four billion, three hundred one million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 73 74 111 146 148 185 219 222 292 365 370 438 444 555 730 740 876 1095 1110 1460 2190 2220 2701 4380 5402 8103 10804 13505 16206 27010 32412 40515 54020 81030 162060 211657 423314 634971 846628 1058285 1269942 2116570 2539884 3174855 4233140 6349710 7831309 12699420 15450961 15662618 23493927 30901922 31325236 39156545 46352883 46987854 61803844 77254805 78313090 92705766 93975708 117469635 154509610 156626180 185411532 231764415 234939270 309019220 463528830 469878540 571685557 927057660 1143371114 1715056671 2286742228 2858427785 3430113342 5716855570 6860226684 8575283355 11433711140 17150566710 34301133420