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34502020404 = 223179712713729
BaseRepresentation
bin100000001000011110…
…110000110100110100
310022001111122020100120
4200020132300310310
51031130004123104
623503334011540
72330664222525
oct401036606464
9108044566316
1034502020404
11136a5544655
12682a7a6bb0
13333acc83b7
14195431c84c
15d6deb5cd9
hex8087b0d34

34502020404 has 96 divisors (see below), whose sum is σ = 86803476480. Its totient is φ = 10627448832.

The previous prime is 34502020403. The next prime is 34502020411. The reversal of 34502020404 is 40402020543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34502020403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506212 + ... + 2519940.

It is an arithmetic number, because the mean of its divisors is an integer number (904202880).

Almost surely, 234502020404 is an apocalyptic number.

34502020404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34502020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43401738240).

34502020404 is an abundant number, since it is smaller than the sum of its proper divisors (52301456076).

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

34502020404 is a wasteful number, since it uses less digits than its factorization.

34502020404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13977 (or 13975 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 34502020404 its reverse (40402020543), we get a palindrome (74904040947).

The spelling of 34502020404 in words is "thirty-four billion, five hundred two million, twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 127 194 204 254 291 381 388 508 582 762 1164 1524 1649 2159 3298 4318 4947 6477 6596 8636 9894 12319 12954 13729 19788 24638 25908 27458 36957 41187 49276 54916 73914 82374 147828 164748 209423 233393 418846 466786 628269 700179 837692 933572 1256538 1331713 1400358 1743583 2513076 2663426 2800716 3487166 3995139 5230749 5326852 6974332 7990278 10461498 15980556 20922996 22639121 29640911 45278242 59281822 67917363 88922733 90556484 118563644 135834726 169127551 177845466 271669452 338255102 355690932 507382653 676510204 1014765306 2029530612 2875168367 5750336734 8625505101 11500673468 17251010202 34502020404