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348540804 = 223223509827
BaseRepresentation
bin10100110001100…
…100111110000100
3220021211201002200
4110301210332010
51203211301204
654330234500
711431355643
oct2461447604
9807751080
10348540804
11169818957
1298885a30
1357294c81
143440b35a
15208eb539
hex14c64f84

348540804 has 72 divisors (see below), whose sum is σ = 922259520. Its totient is φ = 110776512.

The previous prime is 348540761. The next prime is 348540833. The reversal of 348540804 is 408045843.

348540804 is a `hidden beast` number, since 34 + 8 + 540 + 80 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421039 + ... + 421865.

It is an arithmetic number, because the mean of its divisors is an integer number (12809160).

Almost surely, 2348540804 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 348540804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461129760).

348540804 is an abundant number, since it is smaller than the sum of its proper divisors (573718716).

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

348540804 is a wasteful number, since it uses less digits than its factorization.

348540804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 348540804 is about 18669.2475477722. The cubic root of 348540804 is about 703.7491385162.

The spelling of 348540804 in words is "three hundred forty-eight million, five hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 509 827 828 1018 1527 1654 2036 2481 3054 3308 4581 4962 6108 7443 9162 9924 11707 14886 18324 19021 23414 29772 35121 38042 46828 57063 70242 76084 105363 114126 140484 171189 210726 228252 342378 420943 421452 684756 841886 1262829 1683772 2525658 3788487 5051316 7576974 9681689 15153948 19363378 29045067 38726756 58090134 87135201 116180268 174270402 348540804