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4355405040 = 2435710724229
BaseRepresentation
bin1000000111001101…
…00011010011110000
3102020112110111111210
410003212203103300
532404440430130
62000103240120
7212634221610
oct40346432360
912215414453
104355405040
1119355702a8
12a16749040
1354544ab5c
142d462aa40
151a757a5b0
hex1039a34f0

4355405040 has 160 divisors (see below), whose sum is σ = 15575431680. Its totient is φ = 986176512.

The previous prime is 4355405029. The next prime is 4355405057. The reversal of 4355405040 is 405045534.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4355404989 and 4355405007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167646 + ... + 191874.

It is an arithmetic number, because the mean of its divisors is an integer number (97346448).

Almost surely, 24355405040 is an apocalyptic number.

4355405040 is a gapful number since it is divisible by the number (40) 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 4355405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787715840).

4355405040 is an abundant number, since it is smaller than the sum of its proper divisors (11220026640).

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

4355405040 is a wasteful number, since it uses less digits than its factorization.

4355405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24359 (or 24353 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 4355405040 is about 65995.4925733569. The cubic root of 4355405040 is about 1633.0877324267.

The spelling of 4355405040 in words is "four billion, three hundred fifty-five million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 107 112 120 140 168 210 214 240 280 321 336 420 428 535 560 642 749 840 856 1070 1284 1498 1605 1680 1712 2140 2247 2568 2996 3210 3745 4280 4494 5136 5992 6420 7490 8560 8988 11235 11984 12840 14980 17976 22470 24229 25680 29960 35952 44940 48458 59920 72687 89880 96916 121145 145374 169603 179760 193832 242290 290748 339206 363435 387664 484580 508809 581496 678412 726870 848015 969160 1017618 1162992 1356824 1453740 1696030 1938320 2035236 2544045 2592503 2713648 2907480 3392060 4070472 5088090 5185006 5814960 6784120 7777509 8140944 10176180 10370012 12962515 13568240 15555018 18147521 20352360 20740024 25925030 31110036 36295042 38887545 40704720 41480048 51850060 54442563 62220072 72590084 77775090 90737605 103700120 108885126 124440144 145180168 155550180 181475210 207400240 217770252 272212815 290360336 311100360 362950420 435540504 544425630 622200720 725900840 871081008 1088851260 1451801680 2177702520 4355405040