Search a number
-
+
2344432644 = 22324167151157
BaseRepresentation
bin1000101110111101…
…0011010000000100
320001101110111222200
42023233103100010
514300133321034
61024345154500
7112045230411
oct21357232004
96041414880
102344432644
11aa3409a44
1255518ba30
132b4931468
14183517108
15dac4ba99
hex8bbd3404

2344432644 has 144 divisors (see below), whose sum is σ = 6241662336. Its totient is φ = 741312000.

The previous prime is 2344432637. The next prime is 2344432663. The reversal of 2344432644 is 4462344432.

2344432644 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 4 + 3 + 2 + 644 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 2344432599 and 2344432608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14932614 + ... + 14932770.

Almost surely, 22344432644 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 2344432644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120831168).

2344432644 is an abundant number, since it is smaller than the sum of its proper divisors (3897229692).

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

2344432644 is a wasteful number, since it uses less digits than its factorization.

2344432644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The square root of 2344432644 is about 48419.3416312118. The cubic root of 2344432644 is about 1328.4521620701.

The spelling of 2344432644 in words is "two billion, three hundred forty-four million, four hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 67 82 123 134 151 157 164 201 246 268 302 314 369 402 453 471 492 603 604 628 738 804 906 942 1206 1359 1413 1476 1812 1884 2412 2718 2747 2826 5436 5494 5652 6191 6437 8241 10117 10519 10988 12382 12874 16482 18573 19311 20234 21038 23707 24723 24764 25748 30351 31557 32964 37146 38622 40468 42076 47414 49446 55719 57933 60702 63114 71121 74292 77244 91053 94671 94828 98892 111438 115866 121404 126228 142242 182106 189342 213363 222876 231732 284484 364212 378684 414797 426726 431279 829594 853452 862558 971987 1244391 1293837 1588369 1659188 1725116 1943974 2488782 2587674 2915961 3176738 3733173 3881511 3887948 4765107 4977564 5175348 5831922 6353476 7466346 7763022 8747883 9530214 11663844 14295321 14932692 15526044 17495766 19060428 28590642 34991532 57181284 65123129 130246258 195369387 260492516 390738774 586108161 781477548 1172216322 2344432644