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3800348145 = 335117393463
BaseRepresentation
bin1110001010000100…
…1011010111110001
3100210212000200121000
43202201023113301
530240342120040
61425034352213
7163114266126
oct34241132761
910725020530
103800348145
1116802198a0
128a088b669
13487459a19
14280a2274d
15173989130
hexe284b5f1

3800348145 has 64 divisors (see below), whose sum is σ = 7382476800. Its totient is φ = 1839568320.

The previous prime is 3800348143. The next prime is 3800348161. The reversal of 3800348145 is 5418430083.

3800348145 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 not a de Polignac number, because 3800348145 - 21 = 3800348143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3800348143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095684 + ... + 1099146.

It is an arithmetic number, because the mean of its divisors is an integer number (115351200).

Almost surely, 23800348145 is an apocalyptic number.

It is an amenable number.

3800348145 is a deficient number, since it is larger than the sum of its proper divisors (3582128655).

3800348145 is a wasteful number, since it uses less digits than its factorization.

3800348145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3800348145 is about 61646.9637938479. The cubic root of 3800348145 is about 1560.5384051344.

The spelling of 3800348145 in words is "three billion, eight hundred million, three hundred forty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 739 1485 2217 3463 3695 6651 8129 10389 11085 17315 19953 24387 31167 33255 38093 40645 51945 73161 93501 99765 114279 121935 155835 190465 219483 342837 365805 467505 571395 1028511 1097415 1714185 2559157 5142555 7677471 12795785 23032413 28150727 38387355 69097239 84452181 115162065 140753635 253356543 345486195 422260905 760069629 1266782715 3800348145