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3442342120 = 2357210971601
BaseRepresentation
bin1100110100101101…
…1111100011101000
322212220101002122121
43031023133203220
524022214421440
61325325201024
7151206265600
oct31513374350
98786332577
103442342120
111507126648
12800a00174
1342b22c739
1424926dc00
1515231d34a
hexcd2df8e8

3442342120 has 96 divisors (see below), whose sum is σ = 9023649480. Its totient is φ = 1178419200.

The previous prime is 3442342117. The next prime is 3442342133. The reversal of 3442342120 is 212432443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3296367396 + 145974724 = 57414^2 + 12082^2 .

It is a super-2 number, since 2×34423421202 = 23699438542252188800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2149320 + ... + 2150920.

Almost surely, 23442342120 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 3442342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511824740).

3442342120 is an abundant number, since it is smaller than the sum of its proper divisors (5581307360).

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

3442342120 is a wasteful number, since it uses less digits than its factorization.

3442342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3442342120 is about 58671.4762043704. The cubic root of 3442342120 is about 1509.9109811124.

Adding to 3442342120 its reverse (212432443), we get a palindrome (3654774563).

The spelling of 3442342120 in words is "three billion, four hundred forty-two million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1097 1601 1960 2194 3202 4388 5485 6404 7679 8005 8776 10970 11207 12808 15358 16010 21940 22414 30716 32020 38395 43880 44828 53753 56035 61432 64040 76790 78449 89656 107506 112070 153580 156898 215012 224140 268765 307160 313796 392245 430024 448280 537530 627592 784490 1075060 1568980 1756297 2150120 3137960 3512594 7025188 8781485 12294079 14050376 17562970 24588158 35125940 49176316 61470395 70251880 86058553 98352632 122940790 172117106 245881580 344234212 430292765 491763160 688468424 860585530 1721171060 3442342120