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1403423440 = 245174125169
BaseRepresentation
bin101001110100110…
…1000101011010000
310121210210022000221
41103221220223100
510333234022230
6351132122424
746530621346
oct12351505320
93553708027
101403423440
11660217891
12332006414
131949a9a93
14d4563996
158331e27a
hex53a68ad0

1403423440 has 80 divisors (see below), whose sum is σ = 3539304720. Its totient is φ = 515440640.

The previous prime is 1403423393. The next prime is 1403423443. The reversal of 1403423440 is 443243041.

It can be written as a sum of positive squares in 8 ways, for example, as 157051024 + 1246372416 = 12532^2 + 35304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403423443) 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, 43176 + ... + 68344.

It is an arithmetic number, because the mean of its divisors is an integer number (44241309).

Almost surely, 21403423440 is an apocalyptic number.

1403423440 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 1403423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769652360).

1403423440 is an abundant number, since it is smaller than the sum of its proper divisors (2135881280).

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

1403423440 is a wasteful number, since it uses less digits than its factorization.

1403423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25240 (or 25234 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1403423440 is about 37462.2935763415. The cubic root of 1403423440 is about 1119.6000485210.

Adding to 1403423440 its reverse (443243041), we get a palindrome (1846666481).

The spelling of 1403423440 in words is "one billion, four hundred three million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2788 3280 3485 5576 6970 11152 13940 25169 27880 50338 55760 100676 125845 201352 251690 402704 427873 503380 855746 1006760 1031929 1711492 2013520 2063858 2139365 3422984 4127716 4278730 5159645 6845968 8255432 8557460 10319290 16510864 17114920 17542793 20638580 34229840 35085586 41277160 70171172 82554320 87713965 140342344 175427930 280684688 350855860 701711720 1403423440