Search a number
-
+
609934368 = 25341241643
BaseRepresentation
bin100100010110101…
…101110000100000
31120111200212122210
4210112231300200
52222120344433
6140305002120
721054233211
oct4426556040
91514625583
10609934368
1129332379a
12150323340
1399496614
145b011408
1538831463
hex245adc20

609934368 has 96 divisors (see below), whose sum is σ = 1649495232. Its totient is φ = 197222400.

The previous prime is 609934277. The next prime is 609934397. The reversal of 609934368 is 863439906.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 948255 + ... + 948897.

It is an arithmetic number, because the mean of its divisors is an integer number (17182242).

Almost surely, 2609934368 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 609934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824747616).

609934368 is an abundant number, since it is smaller than the sum of its proper divisors (1039560864).

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

609934368 is a wasteful number, since it uses less digits than its factorization.

609934368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 609934368 is about 24696.8493537131. The cubic root of 609934368 is about 848.0621913567.

The spelling of 609934368 in words is "six hundred nine million, nine hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 241 246 328 482 492 643 656 723 964 984 1286 1312 1446 1928 1929 1968 2572 2892 3856 3858 3936 5144 5784 7712 7716 9881 10288 11568 15432 19762 20576 23136 26363 29643 30864 39524 52726 59286 61728 79048 79089 105452 118572 154963 158096 158178 210904 237144 309926 316192 316356 421808 464889 474288 619852 632712 843616 929778 948576 1239704 1265424 1859556 2479408 2530848 3719112 4958816 6353483 7438224 12706966 14876448 19060449 25413932 38120898 50827864 76241796 101655728 152483592 203311456 304967184 609934368