Search a number
-
+
103402440 = 23335671429
BaseRepresentation
bin1100010100111…
…00101111001000
321012120101111000
412022130233020
5202432334230
614132135000
72363622561
oct612345710
9235511430
10103402440
1153405869
122a767460
131856539b
14da39168
159127b60
hex629cbc8

103402440 has 128 divisors (see below), whose sum is σ = 350064000. Its totient is φ = 27143424.

The previous prime is 103402433. The next prime is 103402441. The reversal of 103402440 is 44204301.

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

It is not an unprimeable number, because it can be changed into a prime (103402441) 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, 71646 + ... + 73074.

It is an arithmetic number, because the mean of its divisors is an integer number (2734875).

Almost surely, 2103402440 is an apocalyptic number.

103402440 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 103402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032000).

103402440 is an abundant number, since it is smaller than the sum of its proper divisors (246661560).

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

103402440 is a wasteful number, since it uses less digits than its factorization.

103402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1506 counting only the distinct ones).

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

The square root of 103402440 is about 10168.6990318329. The cubic root of 103402440 is about 469.3645252133.

Adding to 103402440 its reverse (44204301), we get a palindrome (147606741).

The spelling of 103402440 in words is "one hundred three million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 1005 1080 1206 1340 1429 1608 1809 2010 2412 2680 2858 3015 3618 4020 4287 4824 5716 6030 7145 7236 8040 8574 9045 11432 12060 12861 14290 14472 17148 18090 21435 24120 25722 28580 34296 36180 38583 42870 51444 57160 64305 72360 77166 85740 95743 102888 128610 154332 171480 191486 192915 257220 287229 308664 382972 385830 478715 514440 574458 765944 771660 861687 957430 1148916 1436145 1543320 1723374 1914860 2297832 2585061 2872290 3446748 3829720 4308435 5170122 5744580 6893496 8616870 10340244 11489160 12925305 17233740 20680488 25850610 34467480 51701220 103402440