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34052420351352 = 23313251434830171
BaseRepresentation
bin1111011111000011100100…
…11010110011010101111000
311110120101020201112012220210
413233201302122303111320
513430403324102220402
6200231244351151120
710113130502133114
oct757416232632570
9143511221465823
1034052420351352
11a9396065a8547
12399b7068154a0
13160018b56a660
1485a208656744
153e0bacd7006c
hex1ef8726b3578

34052420351352 has 64 divisors (see below), whose sum is σ = 92044850808960. Its totient is φ = 10435924080000.

The previous prime is 34052420351347. The next prime is 34052420351359. The reversal of 34052420351352 is 25315302425043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34052420351352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052420351359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217336774 + ... + 217493397.

It is an arithmetic number, because the mean of its divisors is an integer number (1438200793890).

Almost surely, 234052420351352 is an apocalyptic number.

It is an amenable number.

34052420351352 is an abundant number, since it is smaller than the sum of its proper divisors (57992430457608).

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

34052420351352 is a wasteful number, since it uses less digits than its factorization.

34052420351352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434830444 (or 434830440 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 34052420351352 its reverse (25315302425043), we get a palindrome (59367722776395).

The spelling of 34052420351352 in words is "thirty-four trillion, fifty-two billion, four hundred twenty million, three hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 251 312 502 753 1004 1506 2008 3012 3263 6024 6526 9789 13052 19578 26104 39156 78312 434830171 869660342 1304490513 1739320684 2608981026 3478641368 5217962052 5652792223 10435924104 11305584446 16958376669 22611168892 33916753338 45222337784 67833506676 109142372921 135667013352 218284745842 327427118763 436569491684 654854237526 873138983368 1309708475052 1418850847973 2619416950104 2837701695946 4256552543919 5675403391892 8513105087838 11350806783784 17026210175676 34052420351352