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30000310400 = 275237253381
BaseRepresentation
bin11011111100001010…
…000110100010000000
32212102202212200011102
4123330022012202000
5442420034413100
621440522433532
72111302300544
oct337412064200
985382780142
1030000310400
11117a5436265
1259930628a8
132aa1473478
1416484c9a24
15ba8b8acd5
hex6fc286880

30000310400 has 96 divisors (see below), whose sum is σ = 76113418980. Its totient is φ = 11675750400.

The previous prime is 30000310313. The next prime is 30000310411. The reversal of 30000310400 is 401300003.

It can be written as a sum of positive squares in 6 ways, for example, as 13417052224 + 16583258176 = 115832^2 + 128776^2 .

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, 8291 + ... + 245090.

Almost surely, 230000310400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38056709490).

30000310400 is an abundant number, since it is smaller than the sum of its proper divisors (46113108580).

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

30000310400 is a wasteful number, since it uses less digits than its factorization.

30000310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253442 (or 253425 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 30000310400 its reverse (401300003), we get a palindrome (30401610403).

The spelling of 30000310400 in words is "thirty billion, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 185 200 296 320 370 400 592 640 740 800 925 1184 1480 1600 1850 2368 2960 3200 3700 4736 5920 7400 11840 14800 23680 29600 59200 118400 253381 506762 1013524 1266905 2027048 2533810 4054096 5067620 6334525 8108192 9375097 10135240 12669050 16216384 18750194 20270480 25338100 32432768 37500388 40540960 46875485 50676200 75000776 81081920 93750970 101352400 150001552 162163840 187501940 202704800 234377425 300003104 375003880 405409600 468754850 600006208 750007760 810819200 937509700 1200012416 1500015520 1875019400 3000031040 3750038800 6000062080 7500077600 15000155200 30000310400