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2342728440 = 2333513166861
BaseRepresentation
bin1000101110100011…
…0011001011111000
320001021020221021000
42023220303023320
514244214302230
61024244445000
7112024602033
oct21350631370
96037227230
102342728440
11aa2455608
125546a9760
132b4485860
141831d201a
15daa11b60
hex8ba332f8

2342728440 has 128 divisors (see below), whose sum is σ = 8409844800. Its totient is φ = 576668160.

The previous prime is 2342728417. The next prime is 2342728441. The reversal of 2342728440 is 448272432.

2342728440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2342728395 and 2342728404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342728441) 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, 69391 + ... + 97470.

Almost surely, 22342728440 is an apocalyptic number.

2342728440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342728440 is an abundant number, since it is smaller than the sum of its proper divisors (6067116360).

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

2342728440 is a wasteful number, since it uses less digits than its factorization.

2342728440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166894 (or 166884 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2342728440 is about 48401.7400513659. The cubic root of 2342728440 is about 1328.1301933010.

The spelling of 2342728440 in words is "two billion, three hundred forty-two million, seven hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 166861 333722 500583 667444 834305 1001166 1334888 1501749 1668610 2002332 2169193 2502915 3003498 3337220 4004664 4338386 4505247 5005830 6006996 6507579 6674440 7508745 8676772 9010494 10011660 10845965 12013992 13015158 15017490 17353544 18020988 19522737 20023320 21691930 22526235 26030316 30034980 32537895 36041976 39045474 43383860 45052470 52060632 58568211 60069960 65075790 78090948 86767720 90104940 97613685 117136422 130151580 156181896 180209880 195227370 234272844 260303160 292841055 390454740 468545688 585682110 780909480 1171364220 2342728440