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30414000344 = 23713178323431
BaseRepresentation
bin11100010100110100…
…001101000011011000
32220111121022022002012
4130110310031003120
5444241441002334
621545541325052
72124454510640
oct342464150330
986447268065
1030414000344
1111997a01682
125a89706788
132b39099010
141687415520
15bd01559ce
hex714d0d0d8

30414000344 has 64 divisors (see below), whose sum is σ = 70228515840. Its totient is φ = 12024650880.

The previous prime is 30414000289. The next prime is 30414000373. The reversal of 30414000344 is 44300041403.

It is a super-2 number, since 2×304140003442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286309 + ... + 1309739.

It is an arithmetic number, because the mean of its divisors is an integer number (1097320560).

Almost surely, 230414000344 is an apocalyptic number.

It is an amenable number.

30414000344 is an abundant number, since it is smaller than the sum of its proper divisors (39814515496).

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

30414000344 is a wasteful number, since it uses less digits than its factorization.

30414000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25240 (or 25236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30414000344 its reverse (44300041403), we get a palindrome (74714041747).

The spelling of 30414000344 in words is "thirty billion, four hundred fourteen million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1783 3566 7132 12481 14264 23179 23431 24962 46358 46862 49924 92716 93724 99848 162253 164017 185432 187448 304603 324506 328034 609206 649012 656068 1218412 1298024 1312136 2132221 2436824 4264442 8528884 17057768 41777473 83554946 167109892 292442311 334219784 543107149 584884622 1086214298 1169769244 2172428596 2339538488 3801750043 4344857192 7603500086 15207000172 30414000344