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3410244342 = 234313718353
BaseRepresentation
bin1100101101000100…
…0011001011110110
322210122222100210000
43023101003023312
523441010304332
61322221212130
7150336412221
oct31321031366
98718870700
103410244342
11149aaa305a
127b2101046
134246a197b
14244cb65b8
1514e5ccb7c
hexcb4432f6

3410244342 has 80 divisors (see below), whose sum is σ = 8101602432. Its totient is φ = 1070288640.

The previous prime is 3410244337. The next prime is 3410244347. The reversal of 3410244342 is 2434420143.

It is a happy number.

3410244342 is a `hidden beast` number, since 3 + 410 + 244 + 3 + 4 + 2 = 666.

3410244342 is digitally balanced in base 2, because in such base 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 (3410244337) and next prime (3410244347).

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 (3410244347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176638 + ... + 194990.

Almost surely, 23410244342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410244342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050801216).

3410244342 is an abundant number, since it is smaller than the sum of its proper divisors (4691358090).

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

3410244342 is a wasteful number, since it uses less digits than its factorization.

3410244342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18435 (or 18426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3410244342 is about 58397.2973860948. The cubic root of 3410244342 is about 1505.2033134819.

Adding to 3410244342 its reverse (2434420143), we get a palindrome (5844664485).

The spelling of 3410244342 in words is "three billion, four hundred ten million, two hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 279 333 558 666 837 999 1147 1674 1998 2294 2511 2997 3441 5022 5994 6882 10323 18353 20646 30969 36706 55059 61938 92907 110118 165177 185814 330354 495531 568943 679061 991062 1137886 1358122 1486593 1706829 2037183 2973186 3413658 4074366 5120487 6111549 10240974 12223098 15361461 18334647 21050891 30722922 36669294 42101782 46084383 55003941 63152673 92168766 110007882 126305346 189458019 378916038 568374057 1136748114 1705122171 3410244342