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34304433201 = 35713316007
BaseRepresentation
bin11111111100101101…
…000001110000110001
310021112201211202200000
4133330231001300301
51030223413330301
623431555020213
72323044604533
oct377455016061
9107481752600
1034304433201
1113603a5a445
12679459a669
1333090a73ac
141935da7853
15d5b986786
hex7fcb41c31

34304433201 has 48 divisors (see below), whose sum is σ = 52275944448. Its totient is φ = 22475653200.

The previous prime is 34304433199. The next prime is 34304433211. The reversal of 34304433201 is 10233440343.

34304433201 is a `hidden beast` number, since 34 + 304 + 4 + 3 + 320 + 1 = 666.

It is not a de Polignac number, because 34304433201 - 21 = 34304433199 is a prime.

It is a super-2 number, since 2×343044332012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34304433211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5707740 + ... + 5713746.

It is an arithmetic number, because the mean of its divisors is an integer number (1089082176).

Almost surely, 234304433201 is an apocalyptic number.

It is an amenable number.

34304433201 is a deficient number, since it is larger than the sum of its proper divisors (17971511247).

34304433201 is an equidigital number, since it uses as much as digits as its factorization.

34304433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6412 counting only the distinct ones).

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

Adding to 34304433201 its reverse (10233440343), we get a palindrome (44537873544).

The spelling of 34304433201 in words is "thirty-four billion, three hundred four million, four hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 27 71 81 213 243 331 639 993 1917 2979 5751 6007 8937 17253 18021 23501 26811 54063 70503 80433 162189 211509 426497 486567 634527 1279491 1459701 1903581 1988317 3838473 5710743 5964951 11515419 17894853 34546257 53684559 103638771 141170507 161053677 423511521 483161031 1270534563 3811603689 11434811067 34304433201