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1403414320 = 245711227827
BaseRepresentation
bin101001110100110…
…0110011100110000
310121210202211112011
41103221212130300
510333233224240
6351132012304
746530552640
oct12351463460
93553684464
101403414320
11660210a50
12332001094
131949a5899
14d4560520
158331b6ea
hex53a66730

1403414320 has 80 divisors (see below), whose sum is σ = 4068096768. Its totient is φ = 437425920.

The previous prime is 1403414279. The next prime is 1403414323. The reversal of 1403414320 is 234143041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1403414291 and 1403414300.

It is not an unprimeable number, because it can be changed into a prime (1403414323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107754 + ... + 120073.

Almost surely, 21403414320 is an apocalyptic number.

1403414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1403414320 is an abundant number, since it is smaller than the sum of its proper divisors (2664682448).

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

1403414320 is a wasteful number, since it uses less digits than its factorization.

1403414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227858 (or 227852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1403414320 is about 37462.1718537514. The cubic root of 1403414320 is about 1119.5976233146.

Adding to 1403414320 its reverse (234143041), we get a palindrome (1637557361).

The spelling of 1403414320 in words is "one billion, four hundred three million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 227827 455654 911308 1139135 1594789 1822616 2278270 2506097 3189578 3645232 4556540 5012194 6379156 7973945 9113080 10024388 12530485 12758312 15947890 17542679 18226160 20048776 25060970 25516624 31895780 35085358 40097552 50121940 63791560 70170716 87713395 100243880 127583120 140341432 175426790 200487760 280682864 350853580 701707160 1403414320