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34446195476 = 22711293124013
BaseRepresentation
bin100000000101001001…
…110011101100010100
310021220121121000221122
4200011021303230110
51031021211223401
623454021303112
72326415554610
oct400511635424
9107817530848
1034446195476
1113676a85550
126813b64a98
13332c5808b4
14194ab4a340
15d6913a21b
hex805273b14

34446195476 has 144 divisors (see below), whose sum is σ = 80355784320. Its totient is φ = 12536697600.

The previous prime is 34446195461. The next prime is 34446195491. The reversal of 34446195476 is 67459164443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34446195461) and next prime (34446195491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8581646 + ... + 8585658.

It is an arithmetic number, because the mean of its divisors is an integer number (558026280).

Almost surely, 234446195476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34446195476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40177892160).

34446195476 is an abundant number, since it is smaller than the sum of its proper divisors (45909588844).

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

34446195476 is a wasteful number, since it uses less digits than its factorization.

34446195476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4093 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 53.

It can be divided in two parts, 34446 and 195476, that added together give a palindrome (229922).

The spelling of 34446195476 in words is "thirty-four billion, four hundred forty-six million, one hundred ninety-five thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 29 31 44 58 62 77 116 124 154 203 217 308 319 341 406 434 638 682 812 868 899 961 1276 1364 1798 1922 2233 2387 3596 3844 4013 4466 4774 6293 6727 8026 8932 9548 9889 10571 12586 13454 16052 19778 21142 25172 26908 27869 28091 39556 42284 44143 55738 56182 69223 73997 88286 111476 112364 116377 124403 138446 147994 176572 195083 232754 248806 276892 295988 306559 309001 390166 465508 497612 613118 618002 780332 814639 870821 1226236 1236004 1280147 1368433 1629278 1741642 2145913 2560294 2736866 3258556 3483284 3607687 3856493 4291826 5120588 5473732 7215374 7712986 8583652 8961029 9579031 14430748 15425972 17922058 19158062 25253809 26995451 35844116 38316124 39684557 42421423 50507618 53990902 79369114 84842846 101015236 107981804 111838297 158738228 169685692 223676594 277791899 296949961 447353188 555583798 593899922 782868079 1111167596 1187799844 1230221267 1565736158 2460442534 3131472316 4920885068 8611548869 17223097738 34446195476