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2302424040 = 233575215261
BaseRepresentation
bin1000100100111100…
…0011001111101000
312221110102021000110
42021033003033220
514203410032130
61020244534320
7111025165350
oct21117031750
95843367013
102302424040
11a81727294
125430b13a0
132a90135b7
1417baddb60
15d71eeab0
hex893c33e8

2302424040 has 128 divisors (see below), whose sum is σ = 7910680320. Its totient is φ = 525158400.

The previous prime is 2302424029. The next prime is 2302424051. The reversal of 2302424040 is 404242032.

It is an interprime number because it is at equal distance from previous prime (2302424029) and next prime (2302424051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2302423998 and 2302424016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435010 + ... + 440270.

It is an arithmetic number, because the mean of its divisors is an integer number (61802190).

Almost surely, 22302424040 is an apocalyptic number.

2302424040 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 2302424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955340160).

2302424040 is an abundant number, since it is smaller than the sum of its proper divisors (5608256280).

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

2302424040 is a wasteful number, since it uses less digits than its factorization.

2302424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2302424040 is about 47983.5809418180. The cubic root of 2302424040 is about 1320.4696905196.

Adding to 2302424040 its reverse (404242032), we get a palindrome (2706666072).

The spelling of 2302424040 in words is "two billion, three hundred two million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 521 840 1042 1563 2084 2605 3126 3647 4168 5210 5261 6252 7294 7815 10420 10522 10941 12504 14588 15630 15783 18235 20840 21044 21882 26305 29176 31260 31566 36470 36827 42088 43764 52610 54705 62520 63132 72940 73654 78915 87528 105220 109410 110481 126264 145880 147308 157830 184135 210440 218820 220962 294616 315660 368270 437640 441924 552405 631320 736540 883848 1104810 1473080 2209620 2740981 4419240 5481962 8222943 10963924 13704905 16445886 19186867 21927848 27409810 32891772 38373734 41114715 54819620 57560601 65783544 76747468 82229430 95934335 109639240 115121202 153494936 164458860 191868670 230242404 287803005 328917720 383737340 460484808 575606010 767474680 1151212020 2302424040