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34340242400 = 2552101425003
BaseRepresentation
bin11111111110110101…
…101000001111100000
310021122020020001122122
4133332311220033200
51030312100224100
623435314323412
72323661146532
oct377665501740
9107566201578
1034340242400
1113622198422
1267a4589568
133313634579
14193aa49852
15d5ebab985
hex7fed683e0

34340242400 has 72 divisors (see below), whose sum is σ = 84663346824. Its totient is φ = 13600064000.

The previous prime is 34340242399. The next prime is 34340242411. The reversal of 34340242400 is 424204343.

It is a self number, because there is not a number n which added to its sum of digits gives 34340242400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131702 + ... + 293301.

It is an arithmetic number, because the mean of its divisors is an integer number (1175879817).

Almost surely, 234340242400 is an apocalyptic number.

It is an amenable number.

34340242400 is an abundant number, since it is smaller than the sum of its proper divisors (50323104424).

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

34340242400 is a wasteful number, since it uses less digits than its factorization.

34340242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425124 (or 425111 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34340242400 its reverse (424204343), we get a palindrome (34764446743).

The spelling of 34340242400 in words is "thirty-four billion, three hundred forty million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 2020 2525 3232 4040 5050 8080 10100 16160 20200 40400 80800 425003 850006 1700012 2125015 3400024 4250030 6800048 8500060 10625075 13600096 17000120 21250150 34000240 42500300 42925303 68000480 85000600 85850606 170001200 171701212 214626515 340002400 343402424 429253030 686804848 858506060 1073132575 1373609696 1717012120 2146265150 3434024240 4292530300 6868048480 8585060600 17170121200 34340242400