Search a number
-
+
307454364 = 223272634639
BaseRepresentation
bin10010010100110…
…110000110011100
3210102112022002200
4102110312012130
51112202014424
650301451500
710422214260
oct2224660634
9712468080
10307454364
11148606018
1286b70b90
134b90aa79
142cb940a0
151bed28c9
hex1253619c

307454364 has 72 divisors (see below), whose sum is σ = 891770880. Its totient is φ = 87491232.

The previous prime is 307454347. The next prime is 307454377. The reversal of 307454364 is 463454703.

It is a happy number.

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

It is a congruent number.

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, 63957 + ... + 68595.

Almost surely, 2307454364 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 307454364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445885440).

307454364 is an abundant number, since it is smaller than the sum of its proper divisors (584316516).

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

307454364 is a wasteful number, since it uses less digits than its factorization.

307454364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 307454364 is about 17534.3766356264. The cubic root of 307454364 is about 674.9323125542.

The spelling of 307454364 in words is "three hundred seven million, four hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2367 3156 3682 4639 4734 5523 7364 9278 9468 11046 13917 16569 18556 22092 27834 32473 33138 41751 55668 64946 66276 83502 97419 129892 167004 194838 292257 389676 584514 1169028 1220057 2440114 3660171 4880228 7320342 8540399 10980513 14640684 17080798 21961026 25621197 34161596 43922052 51242394 76863591 102484788 153727182 307454364