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730678752 = 25331276659
BaseRepresentation
bin101011100011010…
…100010111100000
31212220220022211000
4223203110113200
52444023210002
6200300552000
724051444516
oct5343242740
91786808730
10730678752
113454a3841
12184852600
13b84c12bb
146d0824b6
154423261c
hex2b8d45e0

730678752 has 96 divisors (see below), whose sum is σ = 2148249600. Its totient is φ = 241605504.

The previous prime is 730678733. The next prime is 730678783. The reversal of 730678752 is 257876037.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 730678698 and 730678707.

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, 106399 + ... + 113057.

It is an arithmetic number, because the mean of its divisors is an integer number (22377600).

Almost surely, 2730678752 is an apocalyptic number.

730678752 is a gapful number since it is divisible by the number (72) 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 730678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074124800).

730678752 is an abundant number, since it is smaller than the sum of its proper divisors (1417570848).

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

730678752 is a wasteful number, since it uses less digits than its factorization.

730678752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 730678752 is about 27031.0701231009. The cubic root of 730678752 is about 900.6903148262.

The spelling of 730678752 in words is "seven hundred thirty million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 6096 6659 6858 9144 12192 13318 13716 18288 19977 26636 27432 36576 39954 53272 54864 59931 79908 106544 109728 119862 159816 179793 213088 239724 319632 359586 479448 639264 719172 845693 958896 1438344 1691386 1917792 2537079 2876688 3382772 5074158 5753376 6765544 7611237 10148316 13531088 15222474 20296632 22833711 27062176 30444948 40593264 45667422 60889896 81186528 91334844 121779792 182669688 243559584 365339376 730678752