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3413142132 = 2232319962143
BaseRepresentation
bin1100101101110000…
…0110101001110100
322210212102120210120
43023130012221310
523442231022012
61322403251540
7150403141461
oct31334065164
98725376716
103413142132
1114a16a2224
127b3079bb0
1342517793a
1424542c668
1514e9a158c
hexcb706a74

3413142132 has 48 divisors (see below), whose sum is σ = 8352153600. Its totient is φ = 1082762208.

The previous prime is 3413142113. The next prime is 3413142151. The reversal of 3413142132 is 2312413143.

It is a happy number.

3413142132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413142113) and next prime (3413142151).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 23853 + ... + 85995.

It is an arithmetic number, because the mean of its divisors is an integer number (174003200).

Almost surely, 23413142132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176076800).

3413142132 is an abundant number, since it is smaller than the sum of its proper divisors (4939011468).

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

3413142132 is a wasteful number, since it uses less digits than its factorization.

3413142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62372 (or 62370 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3413142132 is about 58422.1031117504. The cubic root of 3413142132 is about 1505.6295320373.

Adding to 3413142132 its reverse (2312413143), we get a palindrome (5725555275).

The spelling of 3413142132 in words is "three billion, four hundred thirteen million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 199 276 398 597 796 1194 2388 4577 9154 13731 18308 27462 54924 62143 124286 186429 248572 372858 745716 1429289 2858578 4287867 5717156 8575734 12366457 17151468 24732914 37099371 49465828 74198742 148397484 284428511 568857022 853285533 1137714044 1706571066 3413142132