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434043340434 = 23211171060712157
BaseRepresentation
bin1100101000011101111…
…11111100011010010010
31112111100020010020201100
412110032333330122102
524102410043343214
6531221411045230
743233666343254
oct6241677743222
91474306106640
10434043340434
111580931719a0
12701542a0816
1331c125bac72
1417017603cd4
15b4554a9309
hex650effc692

434043340434 has 96 divisors (see below), whose sum is σ = 1086460667136. Its totient is φ = 123769474560.

The previous prime is 434043340399. The next prime is 434043340453.

434043340434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35697084 + ... + 35709240.

It is an arithmetic number, because the mean of its divisors is an integer number (11317298616).

Almost surely, 2434043340434 is an apocalyptic number.

434043340434 is an abundant number, since it is smaller than the sum of its proper divisors (652417326702).

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

434043340434 is a wasteful number, since it uses less digits than its factorization.

434043340434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22800 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 434043 and 340434, that added together give a palindrome (774477).

The spelling of 434043340434 in words is "four hundred thirty-four billion, forty-three million, three hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 10607 12157 21214 24314 31821 36471 63642 72942 95463 109413 116677 133727 180319 190926 206669 218826 233354 267454 350031 360638 401181 413338 540957 620007 700062 802362 1050093 1081914 1203543 1240014 1622871 1860021 1983509 2100186 2273359 2407086 3245742 3720042 3967018 4546718 5950527 6820077 11901054 13640154 17851581 20460231 35703162 40920462 128949299 257898598 386847897 773695794 1160543691 1418442289 2192138083 2321087382 2836884578 4255326867 4384276166 6576414249 8510653734 12765980601 13152828498 19729242747 24113518913 25531961202 39458485494 48227037826 72340556739 144681113478 217021670217 434043340434