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2301401340 = 2232574144549
BaseRepresentation
bin1000100100101100…
…1001100011111100
312221101111022010200
42021023021203330
514203124320330
61020211003500
7111013405620
oct21113114374
95841438120
102301401340
11a81098987
12542899590
132a8a45c54
1417b915180
15d709ba60
hex892c98fc

2301401340 has 144 divisors (see below), whose sum is σ = 8172964800. Its totient is φ = 513192960.

The previous prime is 2301401329. The next prime is 2301401357. The reversal of 2301401340 is 431041032.

2301401340 is a `hidden beast` number, since 230 + 1 + 401 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 29386 + ... + 73934.

It is an arithmetic number, because the mean of its divisors is an integer number (56756700).

Almost surely, 22301401340 is an apocalyptic number.

2301401340 is a gapful number since it is divisible by the number (20) 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 2301401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086482400).

2301401340 is an abundant number, since it is smaller than the sum of its proper divisors (5871563460).

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

2301401340 is a wasteful number, since it uses less digits than its factorization.

2301401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44612 (or 44607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2301401340 is about 47972.9229878689. The cubic root of 2301401340 is about 1320.2741510466.

Adding to 2301401340 its reverse (431041032), we get a palindrome (2732442372).

The spelling of 2301401340 in words is "two billion, three hundred one million, four hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 44549 51660 89098 133647 178196 222745 267294 311843 400941 445490 534588 623686 668235 801882 890980 935529 1247372 1336470 1559215 1603764 1826509 1871058 2004705 2672940 2806587 3118430 3653018 3742116 4009410 4677645 5479527 5613174 6236860 7306036 8018820 9132545 9355290 10959054 11226348 12785563 14032935 16438581 18265090 18710580 21918108 25571126 27397635 28065870 32877162 36530180 38356689 51142252 54795270 56131740 63927815 65754324 76713378 82192905 109590540 115070067 127855630 153426756 164385810 191783445 230140134 255711260 328771620 383566890 460280268 575350335 767133780 1150700670 2301401340