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3450432064 = 261729109357
BaseRepresentation
bin1100110110101001…
…0110101001000000
322220110121002222011
43031222112221000
524031302311224
61330214422304
7151335121462
oct31552265100
98813532864
103450432064
111510751752
12803661994
1342cb02aa1
1424a378132
15152dba394
hexcda96a40

3450432064 has 56 divisors (see below), whose sum is σ = 7499771640. Its totient is φ = 1567727616.

The previous prime is 3450432049. The next prime is 3450432067. The reversal of 3450432064 is 4602340543.

It can be written as a sum of positive squares in 4 ways, for example, as 154753600 + 3295678464 = 12440^2 + 57408^2 .

It is not an unprimeable number, because it can be changed into a prime (3450432067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23127 + ... + 86230.

Almost surely, 23450432064 is an apocalyptic number.

3450432064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3450432064 is an abundant number, since it is smaller than the sum of its proper divisors (4049339576).

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

3450432064 is a wasteful number, since it uses less digits than its factorization.

3450432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109415 (or 109405 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 3450432064 is about 58740.3784802243. The cubic root of 3450432064 is about 1511.0928836581.

The spelling of 3450432064 in words is "three billion, four hundred fifty million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1856 1972 3944 7888 15776 31552 109357 218714 437428 874856 1749712 1859069 3171353 3499424 3718138 6342706 6998848 7436276 12685412 14872552 25370824 29745104 50741648 53913001 59490208 101483296 107826002 118980416 202966592 215652004 431304008 862608016 1725216032 3450432064