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2442348072 = 233344925183
BaseRepresentation
bin1001000110010011…
…0100011000101000
320022012201010201000
42101210310120220
520000220114242
61042203555000
7114344421213
oct22144643050
96265633630
102442348072
11104370728a
12581b2ba60
132cbcc5198
1419252477a
15e463da4c
hex91934628

2442348072 has 64 divisors (see below), whose sum is σ = 6799680000. Its totient is φ = 812270592.

The previous prime is 2442348053. The next prime is 2442348101. The reversal of 2442348072 is 2708432442.

2442348072 is a `hidden beast` number, since 244 + 2 + 348 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 84393 + ... + 109575.

It is an arithmetic number, because the mean of its divisors is an integer number (106245000).

Almost surely, 22442348072 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 2442348072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399840000).

2442348072 is an abundant number, since it is smaller than the sum of its proper divisors (4357331928).

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

2442348072 is a wasteful number, since it uses less digits than its factorization.

2442348072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25647 (or 25637 counting only the distinct ones).

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

The square root of 2442348072 is about 49420.1180897011. The cubic root of 2442348072 is about 1346.6948083631.

The spelling of 2442348072 in words is "two billion, four hundred forty-two million, three hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 449 898 1347 1796 2694 3592 4041 5388 8082 10776 12123 16164 24246 25183 32328 48492 50366 75549 96984 100732 151098 201464 226647 302196 453294 604392 679941 906588 1359882 1813176 2719764 5439528 11307167 22614334 33921501 45228668 67843002 90457336 101764503 135686004 203529006 271372008 305293509 407058012 610587018 814116024 1221174036 2442348072