Search a number
-
+
1347007440 = 243541367373
BaseRepresentation
bin101000001001001…
…1011001111010000
310110212122001211110
41100102123033100
510224313214230
6341355013320
745244242252
oct12022331720
93425561743
101347007440
11631394699
1231713a240
131860b622c
14cac79cd2
157d3c84b0
hex5049b3d0

1347007440 has 160 divisors (see below), whose sum is σ = 4300724736. Its totient is φ = 348549120.

The previous prime is 1347007421. The next prime is 1347007447. The reversal of 1347007440 is 447007431.

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 = 1347007398 and 1347007407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347007447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3611094 + ... + 3611466.

Almost surely, 21347007440 is an apocalyptic number.

1347007440 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 1347007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150362368).

1347007440 is an abundant number, since it is smaller than the sum of its proper divisors (2953717296).

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

1347007440 is a wasteful number, since it uses less digits than its factorization.

1347007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 1347007440 is about 36701.5999651241. The cubic root of 1347007440 is about 1104.3922020714.

Subtracting from 1347007440 its reverse (447007431), we obtain a palindrome (900000009).

The spelling of 1347007440 in words is "one billion, three hundred forty-seven million, seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 367 373 410 492 615 656 734 746 820 984 1101 1119 1230 1468 1492 1640 1835 1865 1968 2202 2238 2460 2936 2984 3280 3670 3730 4404 4476 4920 5505 5595 5872 5968 7340 7460 8808 8952 9840 11010 11190 14680 14920 15047 15293 17616 17904 22020 22380 29360 29840 30094 30586 44040 44760 45141 45879 60188 61172 75235 76465 88080 89520 90282 91758 120376 122344 136891 150470 152930 180564 183516 225705 229395 240752 244688 273782 300940 305860 361128 367032 410673 451410 458790 547564 601880 611720 684455 722256 734064 821346 902820 917580 1095128 1203760 1223440 1368910 1642692 1805640 1835160 2053365 2190256 2737820 3285384 3611280 3670320 4106730 5475640 5612531 6570768 8213460 10951280 11225062 16426920 16837593 22450124 28062655 32853840 33675186 44900248 56125310 67350372 84187965 89800496 112250620 134700744 168375930 224501240 269401488 336751860 449002480 673503720 1347007440