Search a number
-
+
314452044 = 22342342197
BaseRepresentation
bin10010101111100…
…010100001001100
3210220200211010000
4102233202201030
51120444431134
651111444300
710535540544
oct2257424114
9726624100
10314452044
11151555525
1289386690
13501babca
142da96324
151c915e99
hex12be284c

314452044 has 60 divisors (see below), whose sum is σ = 857800944. Its totient is φ = 100257696.

The previous prime is 314452027. The next prime is 314452069. The reversal of 314452044 is 440254413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314451999 and 314452017.

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 19 ways as a sum of consecutive naturals, for example, 13647 + ... + 28550.

Almost surely, 2314452044 is an apocalyptic number.

It is an amenable number.

314452044 is an abundant number, since it is smaller than the sum of its proper divisors (543348900).

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

314452044 is a wasteful number, since it uses less digits than its factorization.

314452044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42236 (or 42225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 314452044 is about 17732.7957186677. The cubic root of 314452044 is about 680.0144489433.

It can be divided in two parts, 31445 and 2044, that added together give a square (33489 = 1832).

The spelling of 314452044 in words is "three hundred fourteen million, four hundred fifty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 42197 84394 126591 168788 253182 379773 506364 759546 970531 1139319 1519092 1941062 2278638 2911593 3417957 3882124 4557276 5823186 6835914 8734779 11646372 13671828 17469558 26204337 34939116 52408674 78613011 104817348 157226022 314452044