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234425664 = 2634114111
BaseRepresentation
bin11011111100100…
…00110101000000
3121100010001120000
431332100311000
5440003110124
635132320000
75544404514
oct1576206500
9540101500
10234425664
11110366520
1266613000
133974b815
14231c4144
15158a96c9
hexdf90d40

234425664 has 140 divisors (see below), whose sum is σ = 758269248. Its totient is φ = 71020800.

The previous prime is 234425663. The next prime is 234425669. The reversal of 234425664 is 466524432.

234425664 is a `hidden beast` number, since 2 + 344 + 256 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234425663) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 54969 + ... + 59079.

Almost surely, 2234425664 is an apocalyptic number.

234425664 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 234425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379134624).

234425664 is an abundant number, since it is smaller than the sum of its proper divisors (523843584).

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

234425664 is a wasteful number, since it uses less digits than its factorization.

234425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4127 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 234425664 is about 15310.9654822941. The cubic root of 234425664 is about 616.5974413973.

The spelling of 234425664 in words is "two hundred thirty-four million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4111 4752 5184 6336 7128 8222 9504 12333 14256 16444 19008 24666 28512 32888 36999 45221 49332 57024 65776 73998 90442 98664 110997 131552 135663 147996 180884 197328 221994 263104 271326 295992 332991 361768 394656 406989 443988 542652 591984 665982 723536 789312 813978 887976 1085304 1183968 1220967 1331964 1447072 1627956 1775952 2170608 2367936 2441934 2663928 2894144 3255912 3551904 3662901 4341216 4883868 5327856 6511824 7103808 7325802 8682432 9767736 10655712 13023648 14651604 19535472 21311424 26047296 29303208 39070944 58606416 78141888 117212832 234425664