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1014230400 = 27352105649
BaseRepresentation
bin111100011100111…
…110110110000000
32121200110020112220
4330130332312000
54034120333100
6244350251040
734063546641
oct7434766600
92550406486
101014230400
11480563347
122437b6a80
13132180441
14989b36c8
155e092aa0
hex3c73ed80

1014230400 has 96 divisors (see below), whose sum is σ = 3340653000. Its totient is φ = 270458880.

The previous prime is 1014230381. The next prime is 1014230411. The reversal of 1014230400 is 40324101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1014230400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43225 + ... + 62424.

Almost surely, 21014230400 is an apocalyptic number.

1014230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014230400 is an abundant number, since it is smaller than the sum of its proper divisors (2326422600).

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

1014230400 is a wasteful number, since it uses less digits than its factorization.

1014230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105676 (or 105659 counting only the distinct ones).

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

The square root of 1014230400 is about 31846.9841586295. The cubic root of 1014230400 is about 1004.7211424043.

Adding to 1014230400 its reverse (40324101), we get a palindrome (1054554501).

The spelling of 1014230400 in words is "one billion, fourteen million, two hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 105649 211298 316947 422596 528245 633894 845192 1056490 1267788 1584735 1690384 2112980 2535576 2641225 3169470 3380768 4225960 5071152 5282450 6338940 6761536 7923675 8451920 10142304 10564900 12677880 13523072 15847350 16903840 20284608 21129800 25355760 31694700 33807680 40569216 42259600 50711520 63389400 67615360 84519200 101423040 126778800 169038400 202846080 253557600 338076800 507115200 1014230400