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30400320 = 263531667
BaseRepresentation
bin111001111110…
…1111101000000
32010012111101210
41303331331000
530240302240
63003330120
7516253446
oct163757500
963174353
1030400320
1116184235
12a220940
1363b5272
144074b96
152a07780
hex1cfdf40

30400320 has 56 divisors (see below), whose sum is σ = 96524064. Its totient is φ = 8106496.

The previous prime is 30400303. The next prime is 30400333. The reversal of 30400320 is 2300403.

It is a super-2 number, since 2×304003202 = 1848358912204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30400296 and 30400305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14874 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (1723644).

Almost surely, 230400320 is an apocalyptic number.

30400320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30400320 is an abundant number, since it is smaller than the sum of its proper divisors (66123744).

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

30400320 is a wasteful number, since it uses less digits than its factorization.

30400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31687 (or 31677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30400320 is about 5513.6485198097. The cubic root of 30400320 is about 312.0992452190.

Adding to 30400320 its reverse (2300403), we get a palindrome (32700723).

The spelling of 30400320 in words is "thirty million, four hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 31667 63334 95001 126668 158335 190002 253336 316670 380004 475005 506672 633340 760008 950010 1013344 1266680 1520016 1900020 2026688 2533360 3040032 3800040 5066720 6080064 7600080 10133440 15200160 30400320