Search a number
-
+
342003103002 = 232114736750817
BaseRepresentation
bin1001111101000001111…
…10010011010100011010
31012200202210011201222200
410332200332103110122
521100410243244002
6421040345231030
733465104260521
oct4764076232432
91180683151880
10342003103002
11122051921270
1256348192476
1326334ba3a02
14127a57754b8
158d69e6cb1c
hex4fa0f9351a

342003103002 has 48 divisors (see below), whose sum is σ = 825570375552. Its totient is φ = 101432252160.

The previous prime is 342003102983. The next prime is 342003103019. The reversal of 342003103002 is 200301300243.

342003103002 is a `hidden beast` number, since 34 + 20 + 0 + 310 + 300 + 2 = 666.

342003103002 is digitally balanced in base 4 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3420031030022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 18366103 + ... + 18384714.

It is an arithmetic number, because the mean of its divisors is an integer number (17199382824).

Almost surely, 2342003103002 is an apocalyptic number.

342003103002 is an abundant number, since it is smaller than the sum of its proper divisors (483567272550).

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

342003103002 is a wasteful number, since it uses less digits than its factorization.

342003103002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36750883 (or 36750880 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 342003103002 its reverse (200301300243), we get a palindrome (542304403245).

The spelling of 342003103002 in words is "three hundred forty-two billion, three million, one hundred three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 36750817 73501634 110252451 220504902 330757353 404258987 661514706 808517974 1212776961 1727288399 2425553922 3454576798 3638330883 5181865197 7276661766 10363730394 15545595591 19000172389 31091191182 38000344778 57000517167 114001034334 171001551501 342003103002