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34211214004 = 221143107168991
BaseRepresentation
bin11111110111001001…
…011011001010110100
310021022020102201222011
4133313021123022310
51030031032322004
623414425014004
72320533343462
oct376711331264
9107266381864
1034211214004
111356637a490
126769324304
1332c29990c6
14192785d832
15d536c1004
hex7f725b2b4

34211214004 has 48 divisors (see below), whose sum is σ = 67456198656. Its totient is φ = 15046869600.

The previous prime is 34211213977. The next prime is 34211214013. The reversal of 34211214004 is 40041211243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 117949 + ... + 286939.

It is an arithmetic number, because the mean of its divisors is an integer number (1405337472).

Almost surely, 234211214004 is an apocalyptic number.

It is an amenable number.

34211214004 is a deficient number, since it is larger than the sum of its proper divisors (33244984652).

34211214004 is a wasteful number, since it uses less digits than its factorization.

34211214004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169156 (or 169154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 34211214004 its reverse (40041211243), we get a palindrome (74252425247).

The spelling of 34211214004 in words is "thirty-four billion, two hundred eleven million, two hundred fourteen thousand, four".

Divisors: 1 2 4 11 22 43 44 86 107 172 214 428 473 946 1177 1892 2354 4601 4708 9202 18404 50611 101222 168991 202444 337982 675964 1858901 3717802 7266613 7435604 14533226 18082037 29066452 36164074 72328148 79932743 159865486 198902407 319730972 397804814 777527591 795609628 1555055182 3110110364 8552803501 17105607002 34211214004