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3505503420 = 223551937963
BaseRepresentation
bin1101000011110001…
…1011110010111100
3100001022020000200000
43100330123302330
524134402102140
61335503034300
7152604200406
oct32074336274
910038200600
103505503420
111539846671
12819b9b990
1343b3455a3
142537d1b76
15157b47a30
hexd0f1bcbc

3505503420 has 144 divisors (see below), whose sum is σ = 11607872640. Its totient is φ = 885577536.

The previous prime is 3505503389. The next prime is 3505503461. The reversal of 3505503420 is 243055053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73359 + ... + 111321.

Almost surely, 23505503420 is an apocalyptic number.

3505503420 is a gapful number since it is divisible by the number (30) 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 3505503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803936320).

3505503420 is an abundant number, since it is smaller than the sum of its proper divisors (8102369220).

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

3505503420 is a wasteful number, since it uses less digits than its factorization.

3505503420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38006 (or 37992 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3505503420 is about 59207.2919495563. The cubic root of 3505503420 is about 1519.0898608413.

Adding to 3505503420 its reverse (243055053), we get a palindrome (3748558473).

The spelling of 3505503420 in words is "three billion, five hundred five million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 7695 9234 10260 15390 18468 23085 30780 37963 46170 75926 92340 113889 151852 189815 227778 341667 379630 455556 569445 683334 721297 759260 1025001 1138890 1366668 1442594 1708335 2050002 2163891 2277780 2885188 3075003 3416670 3606485 4100004 4327782 5125005 6150006 6491673 6833340 7212970 8655564 9225009 10250010 10819455 12300012 12983346 14425940 15375015 18450018 19475019 20500020 21638910 25966692 30750030 32458365 36900036 38950038 43277820 46125045 58425057 61500060 64916730 77900076 92250090 97375095 116850114 129833460 175275171 184500180 194750190 233700228 292125285 350550342 389500380 584250570 701100684 876375855 1168501140 1752751710 3505503420