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3355469008 = 241925397113
BaseRepresentation
bin1100100000000000…
…0110010011010000
322122211220111010221
43020000012103100
523333000002013
61312543202424
7146103005323
oct31000062320
98584814127
103355469008
111472090591
127978a6414
13416233b28
1423b8d87ba
151498ad08d
hexc80064d0

3355469008 has 120 divisors (see below), whose sum is σ = 7125434568. Its totient is φ = 1529708544.

The previous prime is 3355469003. The next prime is 3355469053. The reversal of 3355469008 is 8009645533.

It can be written as a sum of positive squares in 4 ways, for example, as 80425024 + 3275043984 = 8968^2 + 57228^2 .

It is a super-3 number, since 3×33554690083 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355469003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29694360 + ... + 29694472.

Almost surely, 23355469008 is an apocalyptic number.

3355469008 is a gapful number since it is divisible by the number (38) 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 3355469008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562717284).

3355469008 is an abundant number, since it is smaller than the sum of its proper divisors (3769965560).

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

3355469008 is a wasteful number, since it uses less digits than its factorization.

3355469008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 3355469008 is about 57926.4102806311. The cubic root of 3355469008 is about 1497.1009202043.

The spelling of 3355469008 in words is "three billion, three hundred fifty-five million, four hundred sixty-nine thousand, eight".

Divisors: 1 2 4 8 16 19 38 53 76 97 106 113 152 194 212 226 304 361 388 424 452 722 776 848 904 1007 1444 1552 1808 1843 2014 2147 2888 3686 4028 4294 5141 5776 5989 7372 8056 8588 10282 10961 11978 14744 16112 17176 19133 20564 21922 23956 29488 34352 35017 38266 40793 41128 43844 47912 70034 76532 81586 82256 87688 95824 97679 113791 140068 153064 163172 175376 195358 208259 227582 280136 306128 326344 390716 416518 455164 560272 580933 652688 781432 833036 910328 1161866 1562864 1666072 1820656 1855901 2162029 2323732 3332144 3711802 3956921 4324058 4647464 7423604 7913842 8648116 9294928 11037727 14847208 15827684 17296232 22075454 29694416 31655368 34592464 44150908 63310736 88301816 176603632 209716813 419433626 838867252 1677734504 3355469008