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2340513792 = 211354703
BaseRepresentation
bin1000101110000001…
…0110100000000000
320001010002102100000
42023200112200000
514243132420132
61024125200000
7112000016241
oct21340264000
96033072300
102340513792
11aa1182721
12553a00000
132b3b8b806
14182bb6cc8
15da72587c
hex8b816800

2340513792 has 144 divisors (see below), whose sum is σ = 7011688320. Its totient is φ = 780005376.

The previous prime is 2340513757. The next prime is 2340513797. The reversal of 2340513792 is 2973150432.

2340513792 is a `hidden beast` number, since 234 + 0 + 51 + 379 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2340513797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495313 + ... + 500015.

It is an arithmetic number, because the mean of its divisors is an integer number (48692280).

Almost surely, 22340513792 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 2340513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505844160).

2340513792 is an abundant number, since it is smaller than the sum of its proper divisors (4671174528).

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

2340513792 is an frugal number, since it uses more digits than its factorization.

2340513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2340513792 is about 48378.8568695045. The cubic root of 2340513792 is about 1327.7115549081.

The spelling of 2340513792 in words is "two billion, three hundred forty million, five hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 4703 5184 6144 6912 7776 9216 9406 10368 13824 14109 15552 18432 18812 20736 27648 28218 31104 37624 41472 42327 55296 56436 62208 75248 82944 84654 112872 124416 126981 150496 165888 169308 225744 248832 253962 300992 338616 380943 451488 497664 507924 601984 677232 761886 902976 1015848 1142829 1203968 1354464 1523772 1805952 2031696 2285658 2407936 2708928 3047544 3611904 4063392 4571316 4815872 5417856 6095088 7223808 8126784 9142632 9631744 10835712 12190176 14447616 16253568 18285264 21671424 24380352 28895232 32507136 36570528 43342848 48760704 65014272 73141056 86685696 97521408 130028544 146282112 195042816 260057088 292564224 390085632 585128448 780171264 1170256896 2340513792