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3454618672 = 243141257661
BaseRepresentation
bin1100110111101001…
…0100110000110000
322220202110210220201
43031322110300300
524033340244142
61330444244544
7151415526361
oct31572246060
98822423821
103454618672
11151305115a
12804b40754
1343093a57b
1424ab47b68
15153445ab7
hexcde94c30

3454618672 has 80 divisors (see below), whose sum is σ = 7116044544. Its totient is φ = 1622016000.

The previous prime is 3454618669. The next prime is 3454618679. The reversal of 3454618672 is 2768164543.

It is not an unprimeable number, because it can be changed into a prime (3454618679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5226022 + ... + 5226682.

Almost surely, 23454618672 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 3454618672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558022272).

3454618672 is an abundant number, since it is smaller than the sum of its proper divisors (3661425872).

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

3454618672 is a wasteful number, since it uses less digits than its factorization.

3454618672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 3454618672 is about 58776.0042194091. The cubic root of 3454618672 is about 1511.7038019868.

The spelling of 3454618672 in words is "three billion, four hundred fifty-four million, six hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 257 328 496 514 656 661 1028 1271 1322 2056 2542 2644 4112 5084 5288 7967 10168 10537 10576 15934 20336 20491 21074 27101 31868 40982 42148 54202 63736 81964 84296 108404 127472 163928 168592 169877 216808 326647 327856 339754 433616 653294 679508 840131 1306588 1359016 1680262 2613176 2718032 3360524 5226352 5266187 6721048 6964957 10532374 13442096 13929914 21064748 27859828 42129496 55719656 84258992 111439312 215913667 431827334 863654668 1727309336 3454618672