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34102400635434 = 2348844111636479
BaseRepresentation
bin1111100000100000101010…
…11110011101001000101010
311110202011020221020201101110
413300100111132131020222
513432213204030313214
6200310232050131150
710116550164422055
oct760202536351052
9143664227221343
1034102400635434
11a95882412474a
1239a9334b80ab6
131604ac51c6351
1485c7ca4d3a9c
153e2135b1d159
hex1f041579d22a

34102400635434 has 16 divisors (see below), whose sum is σ = 68204946769920. Its totient is φ = 11367442628640.

The previous prime is 34102400635361. The next prime is 34102400635559. The reversal of 34102400635434 is 43453600420143.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34102400635392 and 34102400635401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2887594 + ... + 8748885.

It is an arithmetic number, because the mean of its divisors is an integer number (4262809173120).

Almost surely, 234102400635434 is an apocalyptic number.

34102400635434 is an abundant number, since it is smaller than the sum of its proper divisors (34102546134486).

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

34102400635434 is a wasteful number, since it uses less digits than its factorization.

34102400635434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124925.

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 34102400635434 in words is "thirty-four trillion, one hundred two billion, four hundred million, six hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 488441 976882 1465323 2930646 11636479 23272958 34909437 69818874 5683733439239 11367466878478 17051200317717 34102400635434