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30374303472 = 24324713134259
BaseRepresentation
bin11100010010011100…
…110001011011110000
32220101211121111012200
4130102130301123300
5444201310202342
621542002423200
72123463214422
oct342234613360
986354544180
1030374303472
1111977558847
125a78361b00
132b30aaa446
141682040812
15bcb91394c
hex7127316f0

30374303472 has 120 divisors (see below), whose sum is σ = 87479758080. Its totient is φ = 9833416320.

The previous prime is 30374303467. The next prime is 30374303503. The reversal of 30374303472 is 27430347303.

30374303472 is a `hidden beast` number, since 303 + 7 + 4 + 3 + 0 + 347 + 2 = 666.

It is a super-2 number, since 2×303743034722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869479 + ... + 903737.

It is an arithmetic number, because the mean of its divisors is an integer number (728997984).

Almost surely, 230374303472 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 30374303472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43739879040).

30374303472 is an abundant number, since it is smaller than the sum of its proper divisors (57105454608).

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

30374303472 is a wasteful number, since it uses less digits than its factorization.

30374303472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34451 (or 34442 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 36.

The spelling of 30374303472 in words is "thirty billion, three hundred seventy-four million, three hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 131 141 144 188 262 282 376 393 423 524 564 752 786 846 1048 1128 1179 1572 1692 2096 2256 2358 3144 3384 4716 6157 6288 6768 9432 12314 18471 18864 24628 34259 36942 49256 55413 68518 73884 98512 102777 110826 137036 147768 205554 221652 274072 295536 308331 411108 443304 548144 616662 822216 886608 1233324 1610173 1644432 2466648 3220346 4487929 4830519 4933296 6440692 8975858 9661038 12881384 13463787 14491557 17951716 19322076 25762768 26927574 28983114 35903432 38644152 40391361 53855148 57966228 71806864 77288304 80782722 107710296 115932456 161565444 210932663 215420592 231864912 323130888 421865326 632797989 646261776 843730652 1265595978 1687461304 1898393967 2531191956 3374922608 3796787934 5062383912 7593575868 10124767824 15187151736 30374303472