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34654312014 = 237172315713441
BaseRepresentation
bin100000010001100011…
…101101011001001110
310022110010012110011120
4200101203231121032
51031433000441024
623530414101410
72334523535430
oct402143553116
9108403173146
1034654312014
1113773501593
1268717aa866
13336371a38a
14196a642650
15d7c549479
hex8118ed64e

34654312014 has 128 divisors (see below), whose sum is σ = 88079726592. Its totient is φ = 8856207360.

The previous prime is 34654312013. The next prime is 34654312051. The reversal of 34654312014 is 41021345643.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34654312013) 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, 2571534 + ... + 2584974.

It is an arithmetic number, because the mean of its divisors is an integer number (688122864).

Almost surely, 234654312014 is an apocalyptic number.

34654312014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34654312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039863296).

34654312014 is an abundant number, since it is smaller than the sum of its proper divisors (53425414578).

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

34654312014 is a wasteful number, since it uses less digits than its factorization.

34654312014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 34654312014 its reverse (41021345643), we get a palindrome (75675657657).

The spelling of 34654312014 in words is "thirty-four billion, six hundred fifty-four million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 157 161 238 314 322 357 391 471 483 714 782 942 966 1099 1173 2198 2346 2669 2737 3297 3611 5338 5474 6594 7222 8007 8211 10833 13441 16014 16422 18683 21666 25277 26882 37366 40323 50554 56049 61387 75831 80646 94087 112098 122774 151662 184161 188174 228497 282261 309143 368322 429709 456994 564522 618286 685491 859418 927429 1289127 1370982 1599479 1854858 2110237 2164001 2578254 3198958 4220474 4328002 4798437 5255431 6330711 6492003 9596874 10510862 12661422 12984006 14771659 15766293 29543318 31532586 35874029 36788017 44314977 48535451 71748058 73576034 88629954 97070902 107622087 110364051 145606353 215244174 220728102 251118203 291212706 339748157 502236406 679496314 753354609 825102667 1019244471 1506709218 1650205334 2038488942 2475308001 4950616002 5775718669 11551437338 17327156007 34654312014