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770306404 = 227374571627
BaseRepresentation
bin101101111010011…
…111000101100100
31222200110121201211
4231322133011210
53034144301104
6204234201204
725042332160
oct5572370544
91880417654
10770306404
113658aa66a
12195b83204
13c378750a
1474439ca0
154795de04
hex2de9f164

770306404 has 48 divisors (see below), whose sum is σ = 1586687872. Its totient is φ = 320308992.

The previous prime is 770306387. The next prime is 770306413. The reversal of 770306404 is 404603077.

It is a super-2 number, since 2×7703064042 = 1186743912086822432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472639 + ... + 474265.

Almost surely, 2770306404 is an apocalyptic number.

770306404 is a gapful number since it is divisible by the number (74) 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 770306404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793343936).

770306404 is an abundant number, since it is smaller than the sum of its proper divisors (816381468).

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

770306404 is a wasteful number, since it uses less digits than its factorization.

770306404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 770306404 is about 27754.3943187381. The cubic root of 770306404 is about 916.6872047997.

The spelling of 770306404 in words is "seven hundred seventy million, three hundred six thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 74 148 259 457 518 914 1036 1627 1828 3199 3254 6398 6508 11389 12796 16909 22778 33818 45556 60199 67636 118363 120398 236726 240796 421393 473452 743539 842786 1487078 1685572 2974156 5204773 10409546 20819092 27510943 55021886 110043772 192576601 385153202 770306404