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3055640436 = 2235231031327
BaseRepresentation
bin1011011000100001…
…0101111101110100
321212221201121200000
42312020111331310
522224220443221
61223112551300
7135502341462
oct26610257564
97787647600
103055640436
111328913982
127133b2530
13399096084
1420db6b832
1512d3d4e26
hexb6215f74

3055640436 has 144 divisors (see below), whose sum is σ = 8445825024. Its totient is φ = 964076256.

The previous prime is 3055640407. The next prime is 3055640437. The reversal of 3055640436 is 6340465503.

3055640436 is a `hidden beast` number, since 3 + 0 + 5 + 5 + 640 + 4 + 3 + 6 = 666.

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 3055640436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055640437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2302005 + ... + 2303331.

Almost surely, 23055640436 is an apocalyptic number.

3055640436 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 3055640436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222912512).

3055640436 is an abundant number, since it is smaller than the sum of its proper divisors (5390184588).

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

3055640436 is a wasteful number, since it uses less digits than its factorization.

3055640436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3055640436 is about 55277.8476064327. The cubic root of 3055640436 is about 1451.1113851142. Note that the first 3 decimals are identical.

The spelling of 3055640436 in words is "three billion, fifty-five million, six hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 103 108 138 162 206 207 243 276 309 324 412 414 486 618 621 828 927 972 1236 1242 1327 1854 1863 2369 2484 2654 2781 3708 3726 3981 4738 5308 5562 5589 7107 7452 7962 8343 9476 11124 11178 11943 14214 15924 16686 21321 22356 23886 25029 28428 30521 33372 35829 42642 47772 50058 61042 63963 71658 85284 91563 100116 107487 122084 127926 136681 143316 183126 191889 214974 255852 273362 274689 322461 366252 383778 410043 429948 546724 549378 575667 644922 767556 820086 824067 1098756 1151334 1230129 1289844 1640172 1648134 2302668 2460258 2472201 3143663 3296268 3690387 4920516 4944402 6287326 7380774 7416603 9430989 9888804 11071161 12574652 14761548 14833206 18861978 22142322 28292967 29666412 33213483 37723956 44284644 56585934 66426966 84878901 113171868 132853932 169757802 254636703 339515604 509273406 763910109 1018546812 1527820218 3055640436