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344201400312 = 233711216932379
BaseRepresentation
bin1010000001001000000…
…00001000111111111000
31012220102222122210222120
411000210000020333320
521114411024302222
6422042434321240
733603426425550
oct5004400107770
91186388583876
10344201400312
11122a7a798600
1256860429220
13265c545a353
14129336cc160
158e47e5015c
hex5024008ff8

344201400312 has 96 divisors (see below), whose sum is σ = 1080963139200. Its totient is φ = 89402955840.

The previous prime is 344201400307. The next prime is 344201400317. The reversal of 344201400312 is 213004102443.

It is an interprime number because it is at equal distance from previous prime (344201400307) and next prime (344201400317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344201400317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8445862 + ... + 8486517.

It is an arithmetic number, because the mean of its divisors is an integer number (11260032700).

Almost surely, 2344201400312 is an apocalyptic number.

It is an amenable number.

344201400312 is an abundant number, since it is smaller than the sum of its proper divisors (736761738888).

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

344201400312 is a wasteful number, since it uses less digits than its factorization.

344201400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16932417 (or 16932402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344201400312 its reverse (213004102443), we get a palindrome (557205502755).

The spelling of 344201400312 in words is "three hundred forty-four billion, two hundred one million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 16932379 33864758 50797137 67729516 101594274 118526653 135459032 186256169 203188548 237053306 355579959 372512338 406377096 474106612 558768507 711159918 745024676 948213224 1117537014 1303793183 1422319836 1490049352 2048817859 2235074028 2607586366 2844639672 3911379549 4097635718 4470148056 5215172732 6146453577 7822759098 8195271436 10430345464 12292907154 14341725013 15645518196 16390542872 24585814308 28683450026 31291036392 43025175039 49171628616 57366900052 86050350078 114733800104 172100700156 344201400312