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3412352340 = 2233517336527
BaseRepresentation
bin1100101101100100…
…0101110101010100
322210210221110102000
43023121011311110
523442030233330
61322334315300
7150363342045
oct31331056524
98723843360
103412352340
1114a1202901
127b2958b30
13424c5c2c7
142452a48cc
1514e897560
hexcb645d54

3412352340 has 96 divisors (see below), whose sum is σ = 10677864960. Its totient is φ = 904675968.

The previous prime is 3412352323. The next prime is 3412352347. The reversal of 3412352340 is 432532143.

3412352340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412352347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75157 + ... + 111683.

It is an arithmetic number, because the mean of its divisors is an integer number (111227760).

Almost surely, 23412352340 is an apocalyptic number.

3412352340 is a gapful number since it is divisible by the number (30) 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 3412352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338932480).

3412352340 is an abundant number, since it is smaller than the sum of its proper divisors (7265512620).

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

3412352340 is a wasteful number, since it uses less digits than its factorization.

3412352340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36718 (or 36710 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3412352340 is about 58415.3433611410. The cubic root of 3412352340 is about 1505.5133901905.

Adding to 3412352340 its reverse (432532143), we get a palindrome (3844884483).

The spelling of 3412352340 in words is "three billion, four hundred twelve million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 15570 18684 23355 31140 36527 46710 73054 93420 109581 146108 182635 219162 328743 365270 438324 547905 657486 730540 986229 1095810 1314972 1643715 1972458 2191620 3287430 3944916 4931145 6319171 6574860 9862290 12638342 18957513 19724580 25276684 31595855 37915026 56872539 63191710 75830052 94787565 113745078 126383420 170617617 189575130 227490156 284362695 341235234 379150260 568725390 682470468 853088085 1137450780 1706176170 3412352340