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3416432352 = 25343382189
BaseRepresentation
bin1100101110100010…
…1001111011100000
322211002121202010120
43023220221323200
523444101313402
61323002000240
7150443124114
oct31350517340
98732552116
103416432352
1114a353a213
127b41a6080
13425a5a408
14245a47744
1514ee013bc
hexcba29ee0

3416432352 has 48 divisors (see below), whose sum is σ = 8988955920. Its totient is φ = 1136166912.

The previous prime is 3416432293. The next prime is 3416432449. The reversal of 3416432352 is 2532346143.

It is a happy number.

3416432352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 82662.

It is an arithmetic number, because the mean of its divisors is an integer number (187269915).

Almost surely, 23416432352 is an apocalyptic number.

3416432352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3416432352 is an abundant number, since it is smaller than the sum of its proper divisors (5572523568).

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

3416432352 is a wasteful number, since it uses less digits than its factorization.

3416432352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82635 (or 82627 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 3416432352 is about 58450.2553630008. The cubic root of 3416432352 is about 1506.1131784101.

Adding to 3416432352 its reverse (2532346143), we get a palindrome (5948778495).

The spelling of 3416432352 in words is "three billion, four hundred sixteen million, four hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 433 866 1299 1732 2598 3464 5196 6928 10392 13856 20784 41568 82189 164378 246567 328756 493134 657512 986268 1315024 1972536 2630048 3945072 7890144 35587837 71175674 106763511 142351348 213527022 284702696 427054044 569405392 854108088 1138810784 1708216176 3416432352