Search a number
-
+
2344740640 = 255111778367
BaseRepresentation
bin1000101111000001…
…1110011100100000
320001102001011110221
42023300132130200
514300223200030
61024355532424
7112050652354
oct21360363440
96042034427
102344740640
11aa35aa390
125552ba114
132b4a0b6c8
14183597464
15dacace7a
hex8bc1e720

2344740640 has 96 divisors (see below), whose sum is σ = 6398590464. Its totient is φ = 802467840.

The previous prime is 2344740611. The next prime is 2344740641. The reversal of 2344740640 is 460474432.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2344740596 and 2344740605.

It is not an unprimeable number, because it can be changed into a prime (2344740641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9264 + ... + 69103.

It is an arithmetic number, because the mean of its divisors is an integer number (66651984).

Almost surely, 22344740640 is an apocalyptic number.

2344740640 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 2344740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199295232).

2344740640 is an abundant number, since it is smaller than the sum of its proper divisors (4053849824).

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

2344740640 is a wasteful number, since it uses less digits than its factorization.

2344740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78410 (or 78402 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The square root of 2344740640 is about 48422.5220326244. The cubic root of 2344740640 is about 1328.5103339320.

The spelling of 2344740640 in words is "two billion, three hundred forty-four million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 78367 156734 313468 391835 626936 783670 862037 1253872 1332239 1567340 1724074 2507744 2664478 3134680 3448148 4310185 5328956 6269360 6661195 6896296 8620370 10657912 12538720 13322390 13792592 14654629 17240740 21315824 26644780 27585184 29309258 34481480 42631648 53289560 58618516 68962960 73273145 106579120 117237032 137925920 146546290 213158240 234474064 293092580 468948128 586185160 1172370320 2344740640