Search a number
-
+
34371557052 = 22372232110501
BaseRepresentation
bin100000000000101101…
…000101011010111100
310021201102011000021120
4200000231011122330
51030343104311202
623442353430540
72324521262100
oct400055053274
9107642130246
1034371557052
11136389365a8
1267b2b6b450
133319c79a51
141940c7b900
15d627e50bc
hex800b456bc

34371557052 has 108 divisors (see below), whose sum is σ = 97527739176. Its totient is φ = 9393384000.

The previous prime is 34371557047. The next prime is 34371557081. The reversal of 34371557052 is 25075517343.

It is a super-3 number, since 3×343715570523 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34371556995 and 34371557013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255802 + ... + 366302.

It is an arithmetic number, because the mean of its divisors is an integer number (903034622).

Almost surely, 234371557052 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 34371557052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48763869588).

34371557052 is an abundant number, since it is smaller than the sum of its proper divisors (63156182124).

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

34371557052 is a wasteful number, since it uses less digits than its factorization.

34371557052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110568 (or 110536 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 34371557052 in words is "thirty-four billion, three hundred seventy-one million, five hundred fifty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 529 588 644 966 1058 1127 1587 1932 2116 2254 3174 3381 3703 4508 6348 6762 7406 11109 13524 14812 22218 25921 44436 51842 77763 103684 110501 155526 221002 311052 331503 442004 663006 773507 1326012 1547014 2320521 2541523 3094028 4641042 5083046 5414549 7624569 9282084 10166092 10829098 15249138 16243647 17790661 21658196 30498276 32487294 35581322 53371983 58455029 64974588 71162644 106743966 116910058 124534627 175365087 213487932 233820116 249069254 350730174 373603881 409185203 498138508 701460348 747207762 818370406 1227555609 1494415524 1636740812 2455111218 2864296421 4910222436 5728592842 8592889263 11457185684 17185778526 34371557052