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3452504704 = 271117971487
BaseRepresentation
bin1100110111001001…
…0000101010000000
322220121111102002121
43031302100222000
524032320122304
61330331054024
7151361543245
oct31562205200
98817442077
103452504704
111511937980
128042a1314
1343037a2bc
1424a7575cc
15153179554
hexcdc90a80

3452504704 has 128 divisors (see below), whose sum is σ = 8031985920. Its totient is φ = 1460797440.

The previous prime is 3452504663. The next prime is 3452504719. The reversal of 3452504704 is 4074052543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34525047042 = 23839577462284255232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3452504704.

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, 2321049 + ... + 2322535.

It is an arithmetic number, because the mean of its divisors is an integer number (62749890).

Almost surely, 23452504704 is an apocalyptic number.

3452504704 is a gapful number since it is divisible by the number (34) 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 3452504704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015992960).

3452504704 is an abundant number, since it is smaller than the sum of its proper divisors (4579481216).

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

3452504704 is a wasteful number, since it uses less digits than its factorization.

3452504704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 3452504704 is about 58758.0182102834. The cubic root of 3452504704 is about 1511.3953892183.

The spelling of 3452504704 in words is "three billion, four hundred fifty-two million, five hundred four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 97 128 136 176 187 194 272 352 374 388 544 704 748 776 1067 1088 1408 1487 1496 1552 1649 2134 2176 2974 2992 3104 3298 4268 5948 5984 6208 6596 8536 11896 11968 12416 13192 16357 17072 18139 23792 23936 25279 26384 32714 34144 36278 47584 50558 52768 65428 68288 72556 95168 101116 105536 130856 136576 144239 145112 190336 202232 211072 261712 278069 288478 290224 404464 523424 556138 576956 580448 808928 1046848 1112276 1153912 1160896 1586629 1617856 2093696 2224552 2307824 2321792 2452063 3173258 3235712 4449104 4615648 4904126 6346516 8898208 9231296 9808252 12693032 17796416 18462592 19616504 25386064 26972693 35592832 39233008 50772128 53945386 78466016 101544256 107890772 156932032 203088512 215781544 313864064 431563088 863126176 1726252352 3452504704