Search a number
-
+
2034301344 = 253312932333
BaseRepresentation
bin111100101000000…
…1111100110100000
312020202220012211020
41321100033212200
513131240120334
6533510045440
7101261163465
oct17120174640
95222805736
102034301344
11954345789
12489349880
132655c710a
1415426766c
15bd8dae49
hex7940f9a0

2034301344 has 96 divisors (see below), whose sum is σ = 5533484544. Its totient is φ = 653706240.

The previous prime is 2034301327. The next prime is 2034301361. The reversal of 2034301344 is 4431034302.

It is an interprime number because it is at equal distance from previous prime (2034301327) and next prime (2034301361).

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 (24).

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, 870802 + ... + 873134.

It is an arithmetic number, because the mean of its divisors is an integer number (57640464).

Almost surely, 22034301344 is an apocalyptic number.

2034301344 is a gapful number since it is divisible by the number (24) 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 2034301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766742272).

2034301344 is an abundant number, since it is smaller than the sum of its proper divisors (3499183200).

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

2034301344 is a wasteful number, since it uses less digits than its factorization.

2034301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2034301344 is about 45103.2298621728. The cubic root of 2034301344 is about 1267.0830909070.

Adding to 2034301344 its reverse (4431034302), we get a palindrome (6465335646).

The spelling of 2034301344 in words is "two billion, thirty-four million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 293 372 496 586 744 879 992 1172 1488 1758 2333 2344 2976 3516 4666 4688 6999 7032 9083 9332 9376 13998 14064 18166 18664 27249 27996 28128 36332 37328 54498 55992 72323 72664 74656 108996 111984 144646 145328 216969 217992 223968 289292 290656 433938 435984 578584 683569 867876 871968 1157168 1367138 1735752 2050707 2314336 2734276 3471504 4101414 5468552 6943008 8202828 10937104 16405656 21190639 21874208 32811312 42381278 63571917 65622624 84762556 127143834 169525112 254287668 339050224 508575336 678100448 1017150672 2034301344