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1240340010 = 235713234949
BaseRepresentation
bin100100111101110…
…0001011000101010
310012102220210121220
41021323201120222
510020011340020
6323024442510
742510500430
oct11173413052
93172823556
101240340010
11587159898
122a7479436
13169c79a00
14baa30d50
1573d58240
hex49ee162a

1240340010 has 96 divisors (see below), whose sum is σ = 3684009600. Its totient is φ = 261690624.

The previous prime is 1240339963. The next prime is 1240340029. The reversal of 1240340010 is 100430421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18016 + ... + 52964.

It is an arithmetic number, because the mean of its divisors is an integer number (38375100).

Almost surely, 21240340010 is an apocalyptic number.

1240340010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842004800).

1240340010 is an abundant number, since it is smaller than the sum of its proper divisors (2443669590).

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

1240340010 is a wasteful number, since it uses less digits than its factorization.

1240340010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34992 (or 34979 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1240340010 is about 35218.4612099961. The cubic root of 1240340010 is about 1074.4352570011.

Adding to 1240340010 its reverse (100430421), we get a palindrome (1340770431).

The spelling of 1240340010 in words is "one billion, two hundred forty million, three hundred forty thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 11830 17745 34949 35490 69898 104847 174745 209694 244643 349490 454337 489286 524235 733929 908674 1048470 1223215 1363011 1467858 2271685 2446430 2726022 3180359 3669645 4543370 5906381 6360718 6815055 7339290 9541077 11812762 13630110 15901795 17719143 19082154 29531905 31803590 35438286 41344667 47705385 59063810 82689334 88595715 95410770 124034001 177191430 206723335 248068002 413446670 620170005 1240340010