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3452979712 = 29713372003
BaseRepresentation
bin1100110111010000…
…0100101000000000
322220122101112200111
43031310010220000
524032430322322
61330345201104
7151365562150
oct31564045000
98818345614
103452979712
111512131846
12804490194
134304b5580
1424a83c760
15153220177
hexcdd04a00

3452979712 has 160 divisors (see below), whose sum is σ = 8725191552. Its totient is φ = 1328431104.

The previous prime is 3452979703. The next prime is 3452979721. The reversal of 3452979712 is 2179792543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3452979703) and next prime (3452979721).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722903 + ... + 1724905.

Almost surely, 23452979712 is an apocalyptic number.

3452979712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362595776).

3452979712 is an abundant number, since it is smaller than the sum of its proper divisors (5272211840).

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

3452979712 is a wasteful number, since it uses less digits than its factorization.

3452979712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2062 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 3452979712 is about 58762.0601408766. The cubic root of 3452979712 is about 1511.4647004421.

The spelling of 3452979712 in words is "three billion, four hundred fifty-two million, nine hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 74 91 104 112 128 148 182 208 224 256 259 296 364 416 448 481 512 518 592 728 832 896 962 1036 1184 1456 1664 1792 1924 2003 2072 2368 2912 3328 3367 3584 3848 4006 4144 4736 5824 6656 6734 7696 8012 8288 9472 11648 13468 14021 15392 16024 16576 18944 23296 26039 26936 28042 30784 32048 33152 46592 52078 53872 56084 61568 64096 66304 74111 104156 107744 112168 123136 128192 132608 148222 182273 208312 215488 224336 246272 256384 296444 364546 416624 430976 448672 512768 518777 592888 729092 833248 861952 897344 963443 1025536 1037554 1185776 1458184 1666496 1723904 1794688 1926886 2075108 2371552 2916368 3332992 3589376 3853772 4150216 4743104 5832736 6665984 6744101 7178752 7707544 8300432 9486208 11665472 13331968 13488202 15415088 16600864 18972416 23330944 26976404 30830176 33201728 37944832 46661888 53952808 61660352 66403456 93323776 107905616 123320704 132806912 215811232 246641408 265613824 431622464 493282816 863244928 1726489856 3452979712