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4354684416 = 29373889
BaseRepresentation
bin1000000111000111…
…10011011000000000
3102020111002220000000
410003203303120000
532404244400131
62000040000000
7212625130635
oct40343633000
912214086000
104354684416
111935118945
12a16460000
13545257b54
142d44c018c
151a7486ce6
hex1038f3600

4354684416 has 160 divisors (see below), whose sum is σ = 13052661600. Its totient is φ = 1451188224.

The previous prime is 4354684343. The next prime is 4354684417. The reversal of 4354684416 is 6144864534.

It is a super-2 number, since 2×43546844162 = 37926552725906522112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354684417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117800 + ... + 1121688.

It is an arithmetic number, because the mean of its divisors is an integer number (81579135).

Almost surely, 24354684416 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 4354684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526330800).

4354684416 is an abundant number, since it is smaller than the sum of its proper divisors (8697977184).

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

4354684416 is an frugal number, since it uses more digits than its factorization.

4354684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3894 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4354684416 is about 65990.0327019164. The cubic root of 4354684416 is about 1632.9976598912.

The spelling of 4354684416 in words is "four billion, three hundred fifty-four million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2187 2304 2592 2916 3456 3888 3889 4374 4608 5184 5832 6912 7776 7778 8748 10368 11664 11667 13824 15552 15556 17496 20736 23328 23334 31104 31112 34992 35001 41472 46656 46668 62208 62224 69984 70002 93312 93336 105003 124416 124448 139968 140004 186624 186672 210006 248896 279936 280008 315009 373248 373344 420012 497792 559872 560016 630018 746688 840024 945027 995584 1119744 1120032 1260036 1493376 1680048 1890054 1991168 2240064 2520072 2835081 2986752 3360096 3780108 4480128 5040144 5670162 5973504 6720192 7560216 8505243 8960256 10080288 11340324 13440384 15120432 17010486 17920512 20160576 22680648 26880768 30240864 34020972 40321152 45361296 53761536 60481728 68041944 80642304 90722592 120963456 136083888 161284608 181445184 241926912 272167776 362890368 483853824 544335552 725780736 1088671104 1451561472 2177342208 4354684416