Search a number
-
+
34333998068484 = 223436728872
BaseRepresentation
bin1111100111010000000011…
…10000100011001100000100
311111120022001100200022110000
413303220001300203030010
514000012012001142414
6201004453155001300
710142356323214122
oct763500160431404
9144508040608400
1034333998068484
11aa37a6a907a84
123a261aa599230
1316208b3824b6a
14869abac46912
153e818d05eb09
hex1f3a01c23304

34333998068484 has 135 divisors (see below), whose sum is σ = 90102666957303. Its totient is φ = 11400614136432.

The previous prime is 34333998068471. The next prime is 34333998068497. The reversal of 34333998068484 is 48486089933343.

The square root of 34333998068484 is 5859522.

It is a perfect power (a square), and thus also a powerful number.

34333998068484 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 3 + 9 + 9 + 80 + 68 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (34333998068471) and next prime (34333998068497).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38708001889 + ... + 38708002775.

Almost surely, 234333998068484 is an apocalyptic number.

34333998068484 is the 5859522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34333998068484

34333998068484 is an abundant number, since it is smaller than the sum of its proper divisors (55768668888819).

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

34333998068484 is an frugal number, since it uses more digits than its factorization.

34333998068484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 34333998068484 in words is "thirty-four trillion, three hundred thirty-three billion, nine hundred ninety-eight million, sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 367 734 887 1101 1468 1774 2202 2661 3303 3548 4404 5322 6606 7983 9909 10644 13212 15966 19818 23949 29727 31932 39636 47898 59454 71847 95796 118908 134689 143694 269378 287388 325529 404067 538756 651058 786769 808134 976587 1212201 1302116 1573538 1616268 1953174 2360307 2424402 2929761 3147076 3636603 3906348 4720614 4848804 5859522 7080921 7273206 8789283 9441228 10909809 11719044 14161842 14546412 17578566 21242763 21819618 26367849 28323684 35157132 42485526 43639236 52735698 63728289 84971052 105471396 119469143 127456578 238938286 254913156 288744223 358407429 477876572 577488446 716814858 866232669 1075222287 1154976892 1433629716 1732465338 2150444574 2598698007 3225666861 3464930676 4300889148 5197396014 6451333722 7796094021 9677000583 10394792028 12902667444 15592188042 19354001166 23388282063 31184376084 38708002332 46776564126 93553128252 105969129841 211938259682 317907389523 423876519364 635814779046 953722168569 1271629558092 1907444337138 2861166505707 3814888674276 5722333011414 8583499517121 11444666022828 17166999034242 34333998068484