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41354000 = 2453232931
BaseRepresentation
bin1001110111000…
…0001100010000
32212211000000122
42131300030100
541041312000
64034205412
71011334412
oct235601420
985730018
1041354000
1121385966
1211a23868
13874bc2c
1456c69b2
15396d085
hex2770310

41354000 has 160 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 14784000.

The previous prime is 41353999. The next prime is 41354011. The reversal of 41354000 is 45314.

It is a self number, because there is not a number n which added to its sum of digits gives 41354000.

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, 1333985 + ... + 1334015.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 241354000 is an apocalyptic number.

41354000 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 41354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

41354000 is an abundant number, since it is smaller than the sum of its proper divisors (70067440).

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

41354000 is a wasteful number, since it uses less digits than its factorization.

41354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 41354000 is about 6430.7075815963. The cubic root of 41354000 is about 345.8112951876.

Adding to 41354000 its reverse (45314), we get a palindrome (41399314).

The spelling of 41354000 in words is "forty-one million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 29 31 40 46 50 58 62 80 92 100 115 116 124 125 145 155 184 200 230 232 248 250 290 310 368 400 460 464 496 500 575 580 620 667 713 725 775 899 920 1000 1150 1160 1240 1334 1426 1450 1550 1798 1840 2000 2300 2320 2480 2668 2852 2875 2900 3100 3335 3565 3596 3625 3875 4495 4600 5336 5704 5750 5800 6200 6670 7130 7192 7250 7750 8990 9200 10672 11408 11500 11600 12400 13340 14260 14384 14500 15500 16675 17825 17980 20677 22475 23000 26680 28520 29000 31000 33350 35650 35960 41354 44950 46000 53360 57040 58000 62000 66700 71300 71920 82708 83375 89125 89900 103385 112375 133400 142600 165416 166750 178250 179800 206770 224750 266800 285200 330832 333500 356500 359600 413540 449500 516925 667000 713000 827080 899000 1033850 1334000 1426000 1654160 1798000 2067700 2584625 4135400 5169250 8270800 10338500 20677000 41354000