Search a number
-
+
30400531040 = 25511128313463
BaseRepresentation
bin11100010100000000…
…110100101001100000
32220110122221222200002
4130110000310221200
5444230013443130
621544340515132
72124232151555
oct342400645140
986418858602
1030400531040
1111990341a20
125a850abaa8
132b36361309
14168570aa2c
15bcdd94b45
hex714034a60

30400531040 has 96 divisors (see below), whose sum is σ = 78417351936. Its totient is φ = 11045301760.

The previous prime is 30400531009. The next prime is 30400531081. The reversal of 30400531040 is 4013500403.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2251349 + ... + 2264811.

It is an arithmetic number, because the mean of its divisors is an integer number (816847416).

Almost surely, 230400531040 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 30400531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39208675968).

30400531040 is an abundant number, since it is smaller than the sum of its proper divisors (48016820896).

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

30400531040 is a wasteful number, since it uses less digits than its factorization.

30400531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772 (or 14764 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 30400531040 in words is "thirty billion, four hundred million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1283 1760 2566 5132 6415 10264 12830 13463 14113 20528 25660 26926 28226 41056 51320 53852 56452 67315 70565 102640 107704 112904 134630 141130 148093 205280 215408 225808 269260 282260 296186 430816 451616 538520 564520 592372 740465 1077040 1129040 1184744 1480930 2154080 2258080 2369488 2961860 4738976 5923720 11847440 17273029 23694880 34546058 69092116 86365145 138184232 172730290 190003319 276368464 345460580 380006638 552736928 690921160 760013276 950016595 1381842320 1520026552 1900033190 2763684640 3040053104 3800066380 6080106208 7600132760 15200265520 30400531040