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34325681364 = 2235133187629
BaseRepresentation
bin11111111101111110…
…000101010011010100
310021121012211021200000
4133331332011103110
51030244333300424
623434034251300
72323423322532
oct377576052324
9107535737600
1034325681364
1113614a52507
12679b726b30
133310606980
141938b39152
15d5d7823c9
hex7fdf854d4

34325681364 has 144 divisors (see below), whose sum is σ = 100029995520. Its totient is φ = 10220929920.

The previous prime is 34325681353. The next prime is 34325681399. The reversal of 34325681364 is 46318652343.

34325681364 is a `hidden beast` number, since 34 + 3 + 256 + 8 + 1 + 364 = 666.

It is a super-2 number, since 2×343256813642 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 347902 + ... + 435530.

Almost surely, 234325681364 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 34325681364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50014997760).

34325681364 is an abundant number, since it is smaller than the sum of its proper divisors (65704314156).

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

34325681364 is a wasteful number, since it uses less digits than its factorization.

34325681364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87692 (or 87678 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 34325681364 in words is "thirty-four billion, three hundred twenty-five million, six hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 243 279 324 351 372 403 468 486 558 702 806 837 972 1053 1116 1209 1404 1612 1674 2106 2418 2511 3159 3348 3627 4212 4836 5022 6318 7254 7533 10044 10881 12636 14508 15066 21762 30132 32643 43524 65286 87629 97929 130572 175258 195858 262887 350516 391716 525774 788661 1051548 1139177 1577322 2278354 2365983 2716499 3154644 3417531 4556708 4731966 5432998 6835062 7097949 8149497 9463932 10252593 10865996 13670124 14195898 16298994 20505186 21293847 24448491 28391796 30757779 32597988 35314487 41010372 42587694 48896982 61515558 70628974 73345473 85175388 92273337 97793964 105943461 123031116 141257948 146690946 184546674 211886922 220036419 276820011 293381892 317830383 369093348 423773844 440072838 553640022 635660766 660109257 880145676 953491149 1107280044 1271321532 1320218514 1906982298 2640437028 2860473447 3813964596 5720946894 8581420341 11441893788 17162840682 34325681364