Search a number
-
+
30416506320 = 2435126735443
BaseRepresentation
bin11100010100111101…
…110000110111010000
32220111210000121122010
4130110331300313100
5444243111200240
621550111142520
72124515015664
oct342475606720
986453017563
1030416506320
1111999363432
125a8a514a40
132b39765845
1416878a88a4
15bd049d280
hex714f70dd0

30416506320 has 40 divisors (see below), whose sum is σ = 94291170336. Its totient is φ = 8111068288.

The previous prime is 30416506319. The next prime is 30416506327. The reversal of 30416506320 is 2360561403.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30416506327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63367482 + ... + 63367961.

Almost surely, 230416506320 is an apocalyptic number.

30416506320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30416506320 is an abundant number, since it is smaller than the sum of its proper divisors (63874664016).

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

30416506320 is a wasteful number, since it uses less digits than its factorization.

30416506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126735459 (or 126735453 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 30416506320 in words is "thirty billion, four hundred sixteen million, five hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 126735443 253470886 380206329 506941772 633677215 760412658 1013883544 1267354430 1520825316 1901031645 2027767088 2534708860 3041650632 3802063290 5069417720 6083301264 7604126580 10138835440 15208253160 30416506320