Search a number
-
+
2340774480 = 2435117691153
BaseRepresentation
bin1000101110000101…
…0110001001010000
320001010120122221010
42023201112021100
514243214240410
61024134530520
7112002153252
oct21341261120
96033518833
102340774480
11aa1340570
12553b06a40
132b3c50375
14182c43cd2
15da777c20
hex8b856250

2340774480 has 160 divisors (see below), whose sum is σ = 7933242240. Its totient is φ = 566231040.

The previous prime is 2340774473. The next prime is 2340774481. The reversal of 2340774480 is 844770432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340774481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029584 + ... + 2030736.

It is an arithmetic number, because the mean of its divisors is an integer number (49582764).

Almost surely, 22340774480 is an apocalyptic number.

2340774480 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 2340774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966621120).

2340774480 is an abundant number, since it is smaller than the sum of its proper divisors (5592467760).

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

2340774480 is a wasteful number, since it uses less digits than its factorization.

2340774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 2340774480 is about 48381.5510292921. The cubic root of 2340774480 is about 1327.7608468800.

The spelling of 2340774480 in words is "two billion, three hundred forty million, seven hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 769 880 1153 1320 1538 2306 2307 2640 3076 3459 3845 4612 4614 5765 6152 6918 7690 8459 9224 9228 11530 11535 12304 12683 13836 15380 16918 17295 18448 18456 23060 23070 25366 25377 27672 30760 33836 34590 36912 38049 42295 46120 46140 50732 50754 55344 61520 63415 67672 69180 76098 84590 92240 92280 101464 101508 126830 126885 135344 138360 152196 169180 184560 190245 202928 203016 253660 253770 276720 304392 338360 380490 406032 507320 507540 608784 676720 760980 886657 1014640 1015080 1521960 1773314 2030160 2659971 3043920 3546628 4433285 5319942 7093256 8866570 9753227 10639884 13299855 14186512 17733140 19506454 21279768 26599710 29259681 35466280 39012908 42559536 48766135 53199420 58519362 70932560 78025816 97532270 106398840 117038724 146298405 156051632 195064540 212797680 234077448 292596810 390129080 468154896 585193620 780258160 1170387240 2340774480