Search a number
-
+
348063418002 = 231771421114161
BaseRepresentation
bin1010001000010100011…
…00100100011010010010
31020021102010201122021210
411010022030210122102
521200313213334002
6423521555000550
734101223144416
oct5041214443222
91207363648253
10348063418002
111246817a8663
1257559899156
1326a8c5c9c11
1412bbc5a4d46
1590c201b96c
hex510a324692

348063418002 has 64 divisors (see below), whose sum is σ = 749238812928. Its totient is φ = 107401728000.

The previous prime is 348063417967. The next prime is 348063418037. The reversal of 348063418002 is 200814360843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (348063417967) and next prime (348063418037).

It is a super-2 number, since 2×3480634180022 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991802 + ... + 3105962.

It is an arithmetic number, because the mean of its divisors is an integer number (11706856452).

Almost surely, 2348063418002 is an apocalyptic number.

348063418002 is an abundant number, since it is smaller than the sum of its proper divisors (401175394926).

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

348063418002 is a wasteful number, since it uses less digits than its factorization.

348063418002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114675.

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 348063418002 its reverse (200814360843), we get a palindrome (548877778845).

The spelling of 348063418002 in words is "three hundred forty-eight billion, sixty-three million, four hundred eighteen thousand, two".

Divisors: 1 2 3 6 17 34 51 71 102 142 213 421 426 842 1207 1263 2414 2526 3621 7157 7242 14314 21471 29891 42942 59782 89673 114161 179346 228322 342483 508147 684966 1016294 1524441 1940737 3048882 3881474 5822211 8105431 11644422 16210862 24316293 48061781 48632586 96123562 137792327 144185343 275584654 288370686 413376981 817050277 826753962 1634100554 2451150831 3412386451 4902301662 6824772902 10237159353 20474318706 58010569667 116021139334 174031709001 348063418002