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34305136446 = 2376141931957
BaseRepresentation
bin11111111100101111…
…101101011100111110
310021112210011111100010
4133330233231130332
51030224103331241
623432022044050
72323053564030
oct377457553476
9107483144303
1034305136446
111360439a839
126794879626
133309292509
14193610bc50
15d5ba74d16
hex7fcbed73e

34305136446 has 64 divisors (see below), whose sum is σ = 79889886720. Its totient is φ = 9617477760.

The previous prime is 34305136441. The next prime is 34305136447. The reversal of 34305136446 is 64463150343.

It is a super-3 number, since 3×343051364463 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305136441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057500 + ... + 1089456.

It is an arithmetic number, because the mean of its divisors is an integer number (1248279480).

Almost surely, 234305136446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34305136446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39944943360).

34305136446 is an abundant number, since it is smaller than the sum of its proper divisors (45584750274).

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

34305136446 is a wasteful number, since it uses less digits than its factorization.

34305136446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32449.

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 34305136446 its reverse (64463150343), we get a palindrome (98768286789).

The spelling of 34305136446 in words is "thirty-four billion, three hundred five million, one hundred thirty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 419 427 838 854 1257 1281 2514 2562 2933 5866 8799 17598 25559 31957 51118 63914 76677 95871 153354 178913 191742 223699 357826 447398 536739 671097 1073478 1342194 1949377 3898754 5848131 11696262 13389983 13645639 26779966 27291278 40169949 40936917 80339898 81873834 93729881 187459762 281189643 562379286 816788963 1633577926 2450366889 4900733778 5717522741 11435045482 17152568223 34305136446