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344214200433441 = 31389122698082859
BaseRepresentation
bin100111001000011111001110…
…1001001001011101100100001
31200010202120000110110202011110
41032100332131021023230201
5330104101140302332231
63220025453133133533
7132334440525303432
oct11620763511135441
91603676013422143
10344214200433441
119a74a471554168
123273302732a2a9
1311a0b34baa26c0
1461000b02a1489
1529bdc044d1046
hex1390f9d24bb21

344214200433441 has 32 divisors (see below), whose sum is σ = 499850528688000. Its totient is φ = 209426980105728.

The previous prime is 344214200433379. The next prime is 344214200433473. The reversal of 344214200433441 is 144334002412443.

It is a happy number.

It is not a de Polignac number, because 344214200433441 - 239 = 343664444619553 is a prime.

It is a super-2 number, since 2×3442142004334412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 344214200433441.

It is not an unprimeable number, because it can be changed into a prime (344214200433041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38544270 + ... + 46627128.

It is an arithmetic number, because the mean of its divisors is an integer number (15620329021500).

Almost surely, 2344214200433441 is an apocalyptic number.

It is an amenable number.

344214200433441 is a deficient number, since it is larger than the sum of its proper divisors (155636328254559).

344214200433441 is a wasteful number, since it uses less digits than its factorization.

344214200433441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095233.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 344214200433441 its reverse (144334002412443), we get a palindrome (488548202845884).

The spelling of 344214200433441 in words is "three hundred forty-four trillion, two hundred fourteen billion, two hundred million, four hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 13 39 89 267 1157 3471 12269 36807 159497 478491 1091941 3275823 8082859 14195233 24248577 42585699 105077167 315231501 719374451 2158123353 9351867863 28055603589 99168597071 297505791213 1289191761923 3867575285769 8826005139319 26478015417957 114738066811147 344214200433441