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2344697628 = 22372131013037
BaseRepresentation
bin1000101111000001…
…0011111100011100
320001101221222110220
42023300103330130
514300220311003
61024355001340
7112050413100
oct21360237434
96041858426
102344697628
11aa3580039
12555299250
132b49c4c60
14183585900
15daca0353
hex8bc13f1c

2344697628 has 144 divisors (see below), whose sum is σ = 6923869344. Its totient is φ = 612057600.

The previous prime is 2344697623. The next prime is 2344697639. The reversal of 2344697628 is 8267964432.

2344697628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344697623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770526 + ... + 773562.

It is an arithmetic number, because the mean of its divisors is an integer number (48082426).

Almost surely, 22344697628 is an apocalyptic number.

2344697628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344697628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461934672).

2344697628 is an abundant number, since it is smaller than the sum of its proper divisors (4579171716).

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

2344697628 is a wasteful number, since it uses less digits than its factorization.

2344697628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3163 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 2344697628 is about 48422.0778984132. The cubic root of 2344697628 is about 1328.5022104698.

The spelling of 2344697628 in words is "two billion, three hundred forty-four million, six hundred ninety-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 101 147 156 182 196 202 273 294 303 364 404 546 588 606 637 707 1092 1212 1274 1313 1414 1911 2121 2548 2626 2828 3037 3822 3939 4242 4949 5252 6074 7644 7878 8484 9111 9191 9898 12148 14847 15756 18222 18382 19796 21259 27573 29694 36444 36764 39481 42518 55146 59388 63777 64337 78962 85036 110292 118443 127554 128674 148813 157924 193011 236886 255108 257348 276367 297626 306737 386022 446439 473772 552734 595252 613474 772044 829101 892878 920211 1105468 1226948 1658202 1785756 1840422 1934569 2147159 3316404 3680844 3869138 3987581 4294318 5803707 6441477 7738276 7975162 8588636 11607414 11962743 12882954 15030113 15950324 23214828 23925486 25765908 27913067 30060226 45090339 47850972 55826134 60120452 83739201 90180678 111652268 167478402 180361356 195391469 334956804 390782938 586174407 781565876 1172348814 2344697628