Search a number
-
+
345512448 = 293297773
BaseRepresentation
bin10100100110000…
…001101000000000
3220002010211222100
4110212001220000
51201422344243
654141310400
711363543631
oct2446015000
9802124870
10345512448
1116803a686
1297865400
1356774748
1433c5d888
15204ee0d3
hex14981a00

345512448 has 120 divisors (see below), whose sum is σ = 1008755748. Its totient is φ = 113836032.

The previous prime is 345512393. The next prime is 345512449. The reversal of 345512448 is 844215543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 317124864 + 28387584 = 17808^2 + 5328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (345512449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446590 + ... + 447362.

Almost surely, 2345512448 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 345512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504377874).

345512448 is an abundant number, since it is smaller than the sum of its proper divisors (663243300).

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

345512448 is an equidigital number, since it uses as much as digits as its factorization.

345512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 875 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 345512448 is about 18587.9651387665. The cubic root of 345512448 is about 701.7049920734.

The spelling of 345512448 in words is "three hundred forty-five million, five hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 512 576 582 768 773 776 873 1152 1164 1536 1546 1552 1746 2304 2319 2328 3092 3104 3492 4608 4638 4656 6184 6208 6957 6984 9276 9312 12368 12416 13914 13968 18552 18624 24736 24832 27828 27936 37104 37248 49472 49664 55656 55872 74208 74496 74981 98944 111312 111744 148416 148992 149962 197888 222624 223488 224943 296832 299924 395776 445248 446976 449886 593664 599848 674829 890496 899772 1187328 1199696 1349658 1780992 1799544 2399392 2699316 3561984 3599088 4798784 5398632 7198176 9597568 10797264 14396352 19195136 21594528 28792704 38390272 43189056 57585408 86378112 115170816 172756224 345512448