Search a number
-
+
1346933472 = 253103179761
BaseRepresentation
bin101000001001000…
…1001001011100000
310110212111022100220
41100102021023200
510224303332342
6341353243040
745243513513
oct12022111340
93425438326
101346933472
11631344065
12317103480
1318608b671
14cac5ad7a
157d3b15ec
hex504892e0

1346933472 has 96 divisors (see below), whose sum is σ = 3594689280. Its totient is φ = 441553920.

The previous prime is 1346933461. The next prime is 1346933509. The reversal of 1346933472 is 2743396431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769572 + ... + 1770332.

It is an arithmetic number, because the mean of its divisors is an integer number (37444680).

Almost surely, 21346933472 is an apocalyptic number.

1346933472 is a gapful number since it is divisible by the number (12) 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 1346933472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797344640).

1346933472 is an abundant number, since it is smaller than the sum of its proper divisors (2247755808).

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

1346933472 is a wasteful number, since it uses less digits than its factorization.

1346933472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 1346933472 is about 36700.5922568015. The cubic root of 1346933472 is about 1104.3719865984.

The spelling of 1346933472 in words is "one billion, three hundred forty-six million, nine hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 179 206 309 358 412 537 618 716 761 824 1074 1236 1432 1522 1648 2148 2283 2472 2864 3044 3296 4296 4566 4944 5728 6088 8592 9132 9888 12176 17184 18264 18437 24352 36528 36874 55311 73056 73748 78383 110622 136219 147496 156766 221244 235149 272438 294992 313532 408657 442488 470298 544876 589984 627064 817314 884976 940596 1089752 1254128 1634628 1769952 1881192 2179504 2508256 3269256 3762384 4359008 6538512 7524768 13077024 14030557 28061114 42091671 56122228 84183342 112244456 168366684 224488912 336733368 448977824 673466736 1346933472