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30074496 = 273172271
BaseRepresentation
bin111001010111…
…0011010000000
32002120221110020
41302232122000
530144340441
62552333440
7513425514
oct162563200
962527406
1030074496
1115a81461
12a0a4280
1362ccb7a
143dcc144
152990e66
hex1cae680

30074496 has 96 divisors (see below), whose sum is σ = 85174080. Its totient is φ = 9400320.

The previous prime is 30074461. The next prime is 30074497. The reversal of 30074496 is 69447003.

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

It is not an unprimeable number, because it can be changed into a prime (30074497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110841 + ... + 111111.

It is an arithmetic number, because the mean of its divisors is an integer number (887230).

Almost surely, 230074496 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 30074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42587040).

30074496 is an abundant number, since it is smaller than the sum of its proper divisors (55099584).

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

30074496 is a wasteful number, since it uses less digits than its factorization.

30074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30074496 is about 5484.0218817944. The cubic root of 30074496 is about 310.9802339909.

It can be divided in two parts, 3007 and 4496, that added together give a triangular number (7503 = T122).

The spelling of 30074496 in words is "thirty million, seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 271 272 289 384 408 542 544 578 813 816 867 1084 1088 1156 1626 1632 1734 2168 2176 2312 3252 3264 3468 4336 4607 4624 6504 6528 6936 8672 9214 9248 13008 13821 13872 17344 18428 18496 26016 27642 27744 34688 36856 36992 52032 55284 55488 73712 78319 104064 110568 110976 147424 156638 221136 234957 294848 313276 442272 469914 589696 626552 884544 939828 1253104 1769088 1879656 2506208 3759312 5012416 7518624 10024832 15037248 30074496