[go: up one dir, main page]

Search a number
-
+
30741088 = 2571931233
BaseRepresentation
bin111010101000…
…1001001100000
32010211210211211
41311101021200
530332203323
63014515504
7522203110
oct165211140
963753754
1030741088
1116397264
12a365b94
1364a43c1
144123040
152a7370d
hex1d51260

30741088 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 12026880.

The previous prime is 30741079. The next prime is 30741089. The reversal of 30741088 is 88014703.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30741089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131820 + ... + 132052.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 230741088 is an apocalyptic number.

30741088 is a gapful number since it is divisible by the number (38) 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 30741088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

30741088 is an abundant number, since it is smaller than the sum of its proper divisors (44737952).

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

30741088 is a wasteful number, since it uses less digits than its factorization.

30741088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 30741088 is about 5544.4646269951. The cubic root of 30741088 is about 313.2610587288.

The spelling of 30741088 in words is "thirty million, seven hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 233 248 266 304 434 466 496 532 589 608 868 932 992 1064 1178 1631 1736 1864 2128 2356 3262 3472 3728 4123 4256 4427 4712 6524 6944 7223 7456 8246 8854 9424 13048 14446 16492 17708 18848 26096 28892 30989 32984 35416 50561 52192 57784 61978 65968 70832 101122 115568 123956 131936 137237 141664 202244 231136 247912 274474 404488 495824 548948 808976 960659 991648 1097896 1617952 1921318 2195792 3842636 4391584 7685272 15370544 30741088