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3454337064 = 233238970313
BaseRepresentation
bin1100110111100101…
…0000000000101000
322220201221111121210
43031321100000220
524033302241224
61330434233120
7151413244353
oct31571200050
98821844553
103454337064
111512979622
12804a257a0
1343086c339
1424aab329a
151533dc429
hexcde50028

3454337064 has 64 divisors (see below), whose sum is σ = 9112694400. Its totient is φ = 1088992256.

The previous prime is 3454337053. The next prime is 3454337129. The reversal of 3454337064 is 4607334543.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13972 + ... + 84284.

It is an arithmetic number, because the mean of its divisors is an integer number (142385850).

Almost surely, 23454337064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454337064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556347200).

3454337064 is an abundant number, since it is smaller than the sum of its proper divisors (5658357336).

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

3454337064 is a wasteful number, since it uses less digits than its factorization.

3454337064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70434 (or 70430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The square root of 3454337064 is about 58773.6085671111. The cubic root of 3454337064 is about 1511.6627246647.

The spelling of 3454337064 in words is "three billion, four hundred fifty-four million, three hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 712 1068 2047 2136 4094 6141 8188 12282 16376 24564 49128 70313 140626 210939 281252 421878 562504 843756 1617199 1687512 3234398 4851597 6257857 6468796 9703194 12515714 12937592 18773571 19406388 25031428 37547142 38812776 50062856 75094284 143930711 150188568 287861422 431792133 575722844 863584266 1151445688 1727168532 3454337064