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1400240340 = 22325193831069
BaseRepresentation
bin101001101110101…
…1111100011010100
310121120210120122100
41103131133203110
510331430142330
6350540002100
746461563232
oct12335374324
93546716570
101400240340
11659443324
12330b30330
13194133ca5
14d3d75952
1582de1060
hex5375f8d4

1400240340 has 144 divisors (see below), whose sum is σ = 4486809600. Its totient is φ = 352491264.

The previous prime is 1400240339. The next prime is 1400240341. The reversal of 1400240340 is 430420041.

It is an interprime number because it is at equal distance from previous prime (1400240339) and next prime (1400240341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400240341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309326 + ... + 1310394.

It is an arithmetic number, because the mean of its divisors is an integer number (31158400).

Almost surely, 21400240340 is an apocalyptic number.

1400240340 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 1400240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243404800).

1400240340 is an abundant number, since it is smaller than the sum of its proper divisors (3086569260).

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

1400240340 is a wasteful number, since it uses less digits than its factorization.

1400240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1400240340 is about 37419.7854082570. The cubic root of 1400240340 is about 1118.7529540615.

Adding to 1400240340 its reverse (430420041), we get a palindrome (1830660381).

The spelling of 1400240340 in words is "one billion, four hundred million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 383 570 684 766 855 1069 1140 1149 1532 1710 1915 2138 2298 3207 3420 3447 3830 4276 4596 5345 5745 6414 6894 7277 7660 9621 10690 11490 12828 13788 14554 16035 17235 19242 20311 21380 21831 22980 29108 32070 34470 36385 38484 40622 43662 48105 60933 64140 65493 68940 72770 81244 87324 96210 101555 109155 121866 130986 145540 182799 192420 203110 218310 243732 261972 304665 327465 365598 406220 409427 436620 609330 654930 731196 818854 913995 1218660 1228281 1309860 1637708 1827990 2047135 2456562 3655980 3684843 4094270 4913124 6141405 7369686 7779113 8188540 12282810 14739372 15558226 18424215 23337339 24565620 31116452 36848430 38895565 46674678 70012017 73696860 77791130 93349356 116686695 140024034 155582260 233373390 280048068 350060085 466746780 700120170 1400240340