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2348055696 = 243727912637
BaseRepresentation
bin1000101111110100…
…0111110010010000
320001122021120212210
42023331013302100
514302100240241
61024554552120
7112121100300
oct21375076220
96048246783
102348055696
11aa5463aa8
12556438640
132b55cc58c
14183bbb600
15db215316
hex8bf47c90

2348055696 has 120 divisors (see below), whose sum is σ = 7146030720. Its totient is φ = 662328576.

The previous prime is 2348055667. The next prime is 2348055707. The reversal of 2348055696 is 6965508432.

2348055696 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 (48).

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, 179490 + ... + 192126.

It is an arithmetic number, because the mean of its divisors is an integer number (59550256).

Almost surely, 22348055696 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 2348055696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573015360).

2348055696 is an abundant number, since it is smaller than the sum of its proper divisors (4797975024).

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

2348055696 is a wasteful number, since it uses less digits than its factorization.

2348055696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 2348055696 is about 48456.7404599195. The cubic root of 2348055696 is about 1329.1361333871.

The spelling of 2348055696 in words is "two billion, three hundred forty-eight million, fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2212 2352 3318 3792 3871 4424 6636 7742 8848 11613 12637 13272 15484 23226 25274 26544 30968 37911 46452 50548 61936 75822 88459 92904 101096 151644 176918 185808 202192 265377 303288 353836 530754 606576 619213 707672 998323 1061508 1238426 1415344 1857639 1996646 2123016 2476852 2994969 3715278 3993292 4246032 4953704 5989938 6988261 7430556 7986584 9907408 11979876 13976522 14861112 15973168 20964783 23959752 27953044 29722224 41929566 47919504 48917827 55906088 83859132 97835654 111812176 146753481 167718264 195671308 293506962 335436528 391342616 587013924 782685232 1174027848 2348055696