Search a number
-
+
34052378052 = 223711222714759
BaseRepresentation
bin11111101101101011…
…100000110111000100
310020220011120001000010
4133231223200313010
51024214402044202
623350552350220
72313564303060
oct375553406704
9106804501003
1034052378052
1113494752700
1267240a5370
133298ac5434
141910714aa0
15d4479876c
hex7edae0dc4

34052378052 has 144 divisors (see below), whose sum is σ = 100258421760. Its totient is φ = 8805213120.

The previous prime is 34052378051. The next prime is 34052378093. The reversal of 34052378052 is 25087325043.

It is a self number, because there is not a number n which added to its sum of digits gives 34052378052.

It is not an unprimeable number, because it can be changed into a prime (34052378051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2299849 + ... + 2314607.

It is an arithmetic number, because the mean of its divisors is an integer number (696239040).

Almost surely, 234052378052 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 34052378052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50129210880).

34052378052 is an abundant number, since it is smaller than the sum of its proper divisors (66206043708).

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

34052378052 is a wasteful number, since it uses less digits than its factorization.

34052378052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 34052378052 in words is "thirty-four billion, fifty-two million, three hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 227 231 242 308 363 454 462 484 681 726 847 908 924 1362 1452 1589 1694 2497 2541 2724 3178 3388 4767 4994 5082 6356 7491 9534 9988 10164 14759 14982 17479 19068 27467 29518 29964 34958 44277 52437 54934 59036 69916 82401 88554 103313 104874 109868 162349 164802 177108 192269 206626 209748 309939 324698 329604 384538 413252 487047 576807 619878 649396 769076 974094 1136443 1153614 1239756 1785839 1948188 2272886 2307228 3350293 3409329 3571678 4545772 5357517 6700586 6818658 7143356 10050879 10715034 12500873 13401172 13637316 20101758 21430068 23452051 25001746 36853223 37502619 40203516 46904102 50003492 70356153 73706446 75005238 93808204 110559669 140712306 147412892 150010476 221119338 257972561 281424612 405385453 442238676 515945122 773917683 810770906 1031890244 1216156359 1547835366 1621541812 2432312718 2837698171 3095670732 4864625436 5675396342 8513094513 11350792684 17026189026 34052378052