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1403214340 = 2251117419151
BaseRepresentation
bin101001110100011…
…0101101000000100
310121210101200012111
41103220311220010
510333210324330
6351123430404
746526060623
oct12350655004
93553350174
101403214340
11660094780
12331b25404
13194935858
14d450b6ba
15832cc32a
hex53a35a04

1403214340 has 96 divisors (see below), whose sum is σ = 3487131648. Its totient is φ = 468480000.

The previous prime is 1403214283. The next prime is 1403214341. The reversal of 1403214340 is 434123041.

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

It is not an unprimeable number, because it can be changed into a prime (1403214341) 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, 148765 + ... + 157915.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288).

Almost surely, 21403214340 is an apocalyptic number.

1403214340 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 1403214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743565824).

1403214340 is an abundant number, since it is smaller than the sum of its proper divisors (2083917308).

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

1403214340 is a wasteful number, since it uses less digits than its factorization.

1403214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9227 counting only the distinct ones).

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

The square root of 1403214340 is about 37459.5026662127. The cubic root of 1403214340 is about 1119.5444416407.

Adding to 1403214340 its reverse (434123041), we get a palindrome (1837337381).

The spelling of 1403214340 in words is "one billion, four hundred three million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 82 85 110 164 170 187 205 220 340 374 410 451 697 748 820 902 935 1394 1804 1870 2255 2788 3485 3740 4510 6970 7667 9020 9151 13940 15334 18302 30668 36604 38335 45755 76670 91510 100661 153340 155567 183020 201322 311134 375191 402644 503305 622268 750382 777835 1006610 1500764 1555670 1711237 1875955 2013220 3111340 3422474 3751910 4127101 6378247 6844948 7503820 8254202 8556185 12756494 16508404 17112370 20635505 25512988 31891235 34224740 41271010 63782470 70160717 82542020 127564940 140321434 280642868 350803585 701607170 1403214340