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30403432320 = 273522969149
BaseRepresentation
bin11100010100001011…
…111000111110000000
32220110212102101110220
4130110023320332000
5444231234313240
621544523023040
72124265624242
oct342413707600
986425371426
1030403432320
1111991a43778
125a8606aa80
132b36b38a51
141685c64092
15bce2695d0
hex7142f8f80

30403432320 has 128 divisors (see below), whose sum is σ = 97335540000. Its totient is φ = 8072060928.

The previous prime is 30403432271. The next prime is 30403432337. The reversal of 30403432320 is 2323430403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×304034323203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405106 + ... + 474254.

Almost surely, 230403432320 is an apocalyptic number.

30403432320 is a gapful number since it is divisible by the number (30) 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 30403432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48667770000).

30403432320 is an abundant number, since it is smaller than the sum of its proper divisors (66932107680).

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

30403432320 is a wasteful number, since it uses less digits than its factorization.

30403432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69400 (or 69388 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 30403432320 its reverse (2323430403), we get a palindrome (32726862723).

The spelling of 30403432320 in words is "thirty billion, four hundred three million, four hundred thirty-two 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 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1832 1920 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 13740 14656 18320 21984 27480 29312 36640 43968 54960 69149 73280 87936 109920 138298 146560 207447 219840 276596 345745 414894 439680 553192 691490 829788 1037235 1106384 1382980 1659576 2074470 2212768 2765960 3319152 4148940 4425536 5531920 6638304 8297880 8851072 11063840 13276608 15835121 16595760 22127680 26553216 31670242 33191520 44255360 47505363 63340484 66383040 79175605 95010726 126680968 132766080 158351210 190021452 237526815 253361936 316702420 380042904 475053630 506723872 633404840 760085808 950107260 1013447744 1266809680 1520171616 1900214520 2026895488 2533619360 3040343232 3800429040 5067238720 6080686464 7600858080 10134477440 15201716160 30403432320