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38229345 = 32571121759
BaseRepresentation
bin1001000111010…
…1010101100001
32122221020210200
42101311111201
534241314340
63443215413
7642641550
oct221652541
978836720
1038229345
111a641300
1210977569
137bc691b
145111d97
153552330
hex2475561

38229345 has 144 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 14699520.

The previous prime is 38229263. The next prime is 38229361. The reversal of 38229345 is 54392283.

It is not a de Polignac number, because 38229345 - 213 = 38221153 is a prime.

It is a super-2 number, since 2×382293452 = 2922965638258050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 647926 + ... + 647984.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 238229345 is an apocalyptic number.

38229345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38229345 is an abundant number, since it is smaller than the sum of its proper divisors (51402015).

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

38229345 is a wasteful number, since it uses less digits than its factorization.

38229345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 38229345 is about 6182.9883551564. The cubic root of 38229345 is about 336.8725461434.

The spelling of 38229345 in words is "thirty-eight million, two hundred twenty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 51 55 59 63 77 85 99 105 119 121 153 165 177 187 231 255 295 315 357 363 385 413 495 531 561 595 605 649 693 765 847 885 935 1003 1071 1089 1155 1239 1309 1683 1785 1815 1947 2057 2065 2541 2655 2805 3009 3245 3465 3717 3927 4235 4543 5015 5355 5445 5841 6171 6195 6545 7021 7139 7623 8415 9027 9735 10285 11033 11781 12705 13629 14399 15045 18513 18585 19635 21063 21417 22715 29205 30855 33099 35105 35695 38115 40887 43197 45135 49973 55165 58905 63189 64251 68145 71995 77231 92565 99297 105315 107085 121363 129591 149919 165495 204435 215985 231693 249865 315945 321255 364089 386155 449757 496485 606815 647955 695079 749595 849541 1092267 1158465 1820445 2248785 2548623 3475395 4247705 5461335 7645869 12743115 38229345