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3402431064 = 2332421112247
BaseRepresentation
bin1100101011001100…
…1111101001011000
322210010021101222100
43022303033221120
523432010243224
61321341523400
7150213121044
oct31263175130
98703241870
103402431064
1114966468aa
127ab573560
13422b97526
14243c41024
1514da87ac9
hexcaccfa58

3402431064 has 48 divisors (see below), whose sum is σ = 9236887920. Its totient is φ = 1131439680.

The previous prime is 3402431063. The next prime is 3402431111. The reversal of 3402431064 is 4601342043.

3402431064 is a `hidden beast` number, since 340 + 2 + 4 + 310 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402431063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25812 + ... + 86435.

It is an arithmetic number, because the mean of its divisors is an integer number (192435165).

Almost surely, 23402431064 is an apocalyptic number.

It is an amenable number.

3402431064 is an abundant number, since it is smaller than the sum of its proper divisors (5834456856).

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

3402431064 is a wasteful number, since it uses less digits than its factorization.

3402431064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112680 (or 112673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3402431064 is about 58330.3614252475. The cubic root of 3402431064 is about 1504.0529008007.

The spelling of 3402431064 in words is "three billion, four hundred two million, four hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 421 842 1263 1684 2526 3368 3789 5052 7578 10104 15156 30312 112247 224494 336741 448988 673482 897976 1010223 1346964 2020446 2693928 4040892 8081784 47255987 94511974 141767961 189023948 283535922 378047896 425303883 567071844 850607766 1134143688 1701215532 3402431064