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30011400 = 23325216673
BaseRepresentation
bin111001001111…
…1000000001000
32002110201220100
41302133000020
530140331100
62551125400
7513043536
oct162370010
962421810
1030011400
1115a39011
12a073860
1362aa233
143db3156
15297c400
hex1c9f008

30011400 has 72 divisors (see below), whose sum is σ = 100794330. Its totient is φ = 8002560.

The previous prime is 30011381. The next prime is 30011407. The reversal of 30011400 is 411003.

It can be written as a sum of positive squares in 3 ways, for example, as 27815076 + 2196324 = 5274^2 + 1482^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6537 + ... + 10136.

Almost surely, 230011400 is an apocalyptic number.

30011400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30011400 is an abundant number, since it is smaller than the sum of its proper divisors (70782930).

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

30011400 is a wasteful number, since it uses less digits than its factorization.

30011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16695 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30011400 is about 5478.2661490658. The cubic root of 30011400 is about 310.7626038895.

Adding to 30011400 its reverse (411003), we get a palindrome (30422403).

The spelling of 30011400 in words is "thirty million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 16673 33346 50019 66692 83365 100038 133384 150057 166730 200076 250095 300114 333460 400152 416825 500190 600228 666920 750285 833650 1000380 1200456 1250475 1500570 1667300 2000760 2500950 3001140 3334600 3751425 5001900 6002280 7502850 10003800 15005700 30011400