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34269784641 = 346723072
BaseRepresentation
bin11111111010101000…
…110110101001000001
310021110022122102210000
4133322220312221001
51030141031102031
623424320230213
72322144235401
oct377250665101
9107408572700
1034269784641
1113596444474
126784a6b369
133301b655a1
141931548801
15d588e03e6
hex7faa36a41

34269784641 has 45 divisors (see below), whose sum is σ = 52138446129. Its totient is φ = 22432222296.

The previous prime is 34269784639. The next prime is 34269784667. The reversal of 34269784641 is 14648796243.

The square root of 34269784641 is 185121.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 34269784641 - 21 = 34269784639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34269584641) 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 44 ways as a sum of consecutive naturals, for example, 111627810 + ... + 111628116.

Almost surely, 234269784641 is an apocalyptic number.

34269784641 is the 185121-st square number.

34269784641 is the 92561-st centered octagonal number.

It is an amenable number.

34269784641 is a deficient number, since it is larger than the sum of its proper divisors (17868661488).

34269784641 is an frugal number, since it uses more digits than its factorization.

34269784641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 377 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 34269784641 in words is "thirty-four billion, two hundred sixty-nine million, seven hundred eighty-four thousand, six hundred forty-one".

Divisors: 1 3 9 27 67 81 201 307 603 921 1809 2763 4489 5427 8289 13467 20569 24867 40401 61707 94249 121203 185121 282747 363609 555363 848241 1378123 1666089 2544723 4134369 6314683 7634169 12403107 18944049 37209321 56832147 111627963 170496441 423083761 511489323 1269251283 3807753849 11423261547 34269784641