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3430550556 = 223523173887
BaseRepresentation
bin1100110001111010…
…0000110000011100
322212002012000200000
43030132200300130
524011210104211
61324224334300
7151004125056
oct31436406034
98762160600
103430550556
111500502454
127b8a74390
13428961594
142478808d6
1515128e656
hexcc7a0c1c

3430550556 has 144 divisors (see below), whose sum is σ = 9448717824. Its totient is φ = 1086250176.

The previous prime is 3430550477. The next prime is 3430550587. The reversal of 3430550556 is 6550550343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3430550556.

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, 3867145 + ... + 3868031.

It is an arithmetic number, because the mean of its divisors is an integer number (65616096).

Almost surely, 23430550556 is an apocalyptic number.

3430550556 is a gapful number since it is divisible by the number (36) 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 3430550556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724358912).

3430550556 is an abundant number, since it is smaller than the sum of its proper divisors (6018167268).

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

3430550556 is a wasteful number, since it uses less digits than its factorization.

3430550556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 3430550556 is about 58570.9019565176. The cubic root of 3430550556 is about 1508.1849682936.

The spelling of 3430550556 in words is "three billion, four hundred thirty million, five hundred fifty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 173 207 243 276 324 346 414 486 519 621 692 828 887 972 1038 1242 1557 1774 1863 2076 2484 2661 3114 3548 3726 3979 4671 5322 5589 6228 7452 7958 7983 9342 10644 11178 11937 14013 15916 15966 18684 20401 22356 23874 23949 28026 31932 35811 40802 42039 47748 47898 56052 61203 71622 71847 81604 84078 95796 107433 122406 143244 143694 153451 168156 183609 214866 215541 244812 287388 306902 322299 367218 429732 431082 460353 550827 613804 644598 734436 862164 920706 966897 1101654 1289196 1381059 1652481 1841412 1933794 2203308 2762118 3304962 3529373 3867588 4143177 4957443 5524236 6609924 7058746 8286354 9914886 10588119 12429531 14117492 16572708 19829772 21176238 24859062 31764357 37288593 42352476 49718124 63528714 74577186 95293071 127057428 149154372 190586142 285879213 381172284 571758426 857637639 1143516852 1715275278 3430550556