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30455104 = 262961269
BaseRepresentation
bin111010000101…
…1010101000000
32010022021112211
41310023111000
530244030404
63004431504
7516602251
oct164132500
963267484
1030455104
1116211409
12a248594
136404194
14408ab28
152a18b04
hex1d0b540

30455104 has 56 divisors (see below), whose sum is σ = 63779400. Its totient is φ = 14407680.

The previous prime is 30455101. The next prime is 30455111. The reversal of 30455104 is 40155403.

It can be written as a sum of positive squares in 4 ways, for example, as 774400 + 29680704 = 880^2 + 5448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30455101) 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, 113082 + ... + 113350.

Almost surely, 230455104 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 30455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31889700).

30455104 is an abundant number, since it is smaller than the sum of its proper divisors (33324296).

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

30455104 is a wasteful number, since it uses less digits than its factorization.

30455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 30455104 is about 5518.6143188304. The cubic root of 30455104 is about 312.2866093060.

The spelling of 30455104 in words is "thirty million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 232 244 269 464 488 538 928 976 1076 1769 1856 1952 2152 3538 3904 4304 7076 7801 8608 14152 15602 16409 17216 28304 31204 32818 56608 62408 65636 113216 124816 131272 249632 262544 475861 499264 525088 951722 1050176 1903444 3806888 7613776 15227552 30455104