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1341633440 = 25571637349
BaseRepresentation
bin100111111110111…
…1011001110100000
310110111112001002102
41033331323032200
510221424232230
6341043505532
745150460520
oct11775731640
93414461072
101341633440
11629354074
123153882a8
13184c54154
14ca27b680
157cbb6045
hex4ff7b3a0

1341633440 has 96 divisors (see below), whose sum is σ = 3645129600. Its totient is φ = 457104384.

The previous prime is 1341633427. The next prime is 1341633473. The reversal of 1341633440 is 443361431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178886 + ... + 186234.

It is an arithmetic number, because the mean of its divisors is an integer number (37970100).

Almost surely, 21341633440 is an apocalyptic number.

1341633440 is a gapful number since it is divisible by the number (10) 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 1341633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822564800).

1341633440 is an abundant number, since it is smaller than the sum of its proper divisors (2303496160).

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

1341633440 is a wasteful number, since it uses less digits than its factorization.

1341633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 1341633440 is about 36628.3147305469. The cubic root of 1341633440 is about 1102.9215559090.

Adding to 1341633440 its reverse (443361431), we get a palindrome (1784994871).

The spelling of 1341633440 in words is "one billion, three hundred forty-one million, six hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 163 224 280 326 560 652 815 1120 1141 1304 1630 2282 2608 3260 4564 5216 5705 6520 7349 9128 11410 13040 14698 18256 22820 26080 29396 36512 36745 45640 51443 58792 73490 91280 102886 117584 146980 182560 205772 235168 257215 293960 411544 514430 587920 823088 1028860 1175840 1197887 1646176 2057720 2395774 4115440 4791548 5989435 8230880 8385209 9583096 11978870 16770418 19166192 23957740 33540836 38332384 41926045 47915480 67081672 83852090 95830960 134163344 167704180 191661920 268326688 335408360 670816720 1341633440