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2341422864 = 2432113174663
BaseRepresentation
bin1000101110001111…
…0100011100010000
320001011210121100100
42023203310130100
514243401012424
61024200452400
7112010523504
oct21343643420
96034717310
102341422864
11aa1743720
1255417a100
132b4119521
14182d72304
15da854dc9
hex8b8f4710

2341422864 has 120 divisors (see below), whose sum is σ = 7172523072. Its totient is φ = 707132160.

The previous prime is 2341422833. The next prime is 2341422893. The reversal of 2341422864 is 4682241432.

2341422864 is a `hidden beast` number, since 234 + 142 + 286 + 4 = 666.

It is a super-2 number, since 2×23414228642 = 10964522056123924992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499797 + ... + 504459.

Almost surely, 22341422864 is an apocalyptic number.

2341422864 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 2341422864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586261536).

2341422864 is an abundant number, since it is smaller than the sum of its proper divisors (4831100208).

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

2341422864 is a wasteful number, since it uses less digits than its factorization.

2341422864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4996 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 2341422864 is about 48388.2513013231. The cubic root of 2341422864 is about 1327.8834301560.

The spelling of 2341422864 in words is "two billion, three hundred forty-one million, four hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 317 396 528 634 792 951 1268 1584 1902 2536 2853 3487 3804 4663 5072 5706 6974 7608 9326 10461 11412 13948 13989 15216 18652 20922 22824 27896 27978 31383 37304 41844 41967 45648 51293 55792 55956 62766 74608 83688 83934 102586 111912 125532 153879 167376 167868 205172 223824 251064 307758 335736 410344 461637 502128 615516 671472 820688 923274 1231032 1478171 1846548 2462064 2956342 3693096 4434513 5912684 7386192 8869026 11825368 13303539 16259881 17738052 23650736 26607078 32519762 35476104 48779643 53214156 65039524 70952208 97559286 106428312 130079048 146338929 195118572 212856624 260158096 292677858 390237144 585355716 780474288 1170711432 2341422864