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2345006376 = 2338431039
BaseRepresentation
bin1000101111000101…
…1111010100101000
320001102112200000000
42023301133110220
514300310201001
61024405343000
7112053140166
oct21361372450
96042480000
102345006376
11aa3770aa9
12555407a60
132b4aa264b
14183626236
15dad11a86
hex8bc5f528

2345006376 has 144 divisors (see below), whose sum is σ = 6754862400. Its totient is φ = 762755616.

The previous prime is 2345006369. The next prime is 2345006383. The reversal of 2345006376 is 6736005432.

2345006376 is a `hidden beast` number, since 23 + 4 + 500 + 63 + 76 = 666.

2345006376 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 (2345006369) and next prime (2345006383).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2345006376.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2256465 + ... + 2257503.

Almost surely, 22345006376 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 2345006376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377431200).

2345006376 is an abundant number, since it is smaller than the sum of its proper divisors (4409856024).

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

2345006376 is an equidigital number, since it uses as much as digits as its factorization.

2345006376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2345006376 is about 48425.2658846598. The cubic root of 2345006376 is about 1328.5605199639.

The spelling of 2345006376 in words is "two billion, three hundred forty-five million, six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 729 774 972 1032 1039 1161 1458 1548 1944 2078 2187 2322 2916 3096 3117 3483 4156 4374 4644 5832 6234 6561 6966 8312 8748 9288 9351 10449 12468 13122 13932 17496 18702 20898 24936 26244 27864 28053 31347 37404 41796 44677 52488 56106 62694 74808 83592 84159 89354 94041 112212 125388 134031 168318 178708 188082 224424 250776 252477 268062 282123 336636 357416 376164 402093 504954 536124 564246 673272 752328 757431 804186 1009908 1072248 1128492 1206279 1514862 1608372 2019816 2256984 2272293 2412558 3029724 3216744 3618837 4544586 4825116 6059448 6816879 7237674 9089172 9650232 10856511 13633758 14475348 18178344 21713022 27267516 28950696 32569533 43426044 54535032 65139066 86852088 97708599 130278132 195417198 260556264 293125797 390834396 586251594 781668792 1172503188 2345006376