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30953088 = 273297277
BaseRepresentation
bin111011000010…
…0111010000000
32011020120122200
41312010322000
530410444323
63023233200
7524045145
oct166047200
964216580
1030953088
1116521571
12a448800
136549a4a
14417a3cc
152ab6443
hex1d84e80

30953088 has 96 divisors (see below), whose sum is σ = 90313860. Its totient is φ = 10174464.

The previous prime is 30953059. The next prime is 30953099. The reversal of 30953088 is 88035903.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 1272384 = 5448^2 + 1128^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111606 + ... + 111882.

Almost surely, 230953088 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 30953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45156930).

30953088 is an abundant number, since it is smaller than the sum of its proper divisors (59360772).

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

30953088 is a wasteful number, since it uses less digits than its factorization.

30953088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 30953088 is about 5563.5499458529. The cubic root of 30953088 is about 313.9795245415.

The spelling of 30953088 in words is "thirty million, nine hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 277 288 291 384 388 554 576 582 776 831 873 1108 1152 1164 1552 1662 1746 2216 2328 2493 3104 3324 3492 4432 4656 4986 6208 6648 6984 8864 9312 9972 12416 13296 13968 17728 18624 19944 26592 26869 27936 35456 37248 39888 53184 53738 55872 79776 80607 106368 107476 111744 159552 161214 214952 241821 319104 322428 429904 483642 644856 859808 967284 1289712 1719616 1934568 2579424 3439232 3869136 5158848 7738272 10317696 15476544 30953088