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2745340640 = 25572536607
BaseRepresentation
bin1010001110100010…
…1001001011100000
321002022211202100222
42203220221023200
521110301400030
61132230102212
7125014003400
oct24350511340
97068752328
102745340640
111189745069
126474aa968
13349a00123
141c0876800
1511103e3e5
hexa3a292e0

2745340640 has 144 divisors (see below), whose sum is σ = 7688302272. Its totient is φ = 923360256.

The previous prime is 2745340589. The next prime is 2745340649. The reversal of 2745340640 is 460435472.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2745340640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745340649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412217 + ... + 418823.

It is an arithmetic number, because the mean of its divisors is an integer number (53390988).

Almost surely, 22745340640 is an apocalyptic number.

2745340640 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 2745340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844151136).

2745340640 is an abundant number, since it is smaller than the sum of its proper divisors (4942961632).

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

2745340640 is a wasteful number, since it uses less digits than its factorization.

2745340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 2745340640 is about 52395.9983204825. The cubic root of 2745340640 is about 1400.2279628786.

The spelling of 2745340640 in words is "two billion, seven hundred forty-five million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 140 160 196 212 224 245 265 280 371 392 424 490 530 560 742 784 848 980 1060 1120 1484 1568 1696 1855 1960 2120 2597 2968 3710 3920 4240 5194 5936 6607 7420 7840 8480 10388 11872 12985 13214 14840 20776 25970 26428 29680 33035 41552 46249 51940 52856 59360 66070 83104 92498 103880 105712 132140 184996 207760 211424 231245 264280 323743 350171 369992 415520 462490 528560 647486 700342 739984 924980 1057120 1294972 1400684 1479968 1618715 1750855 1849960 2451197 2589944 2801368 3237430 3501710 3699920 4902394 5179888 5602736 6474860 7003420 7399840 9804788 10359776 11205472 12255985 12949720 14006840 17158379 19609576 24511970 25899440 28013680 34316758 39219152 49023940 51798880 56027360 68633516 78438304 85791895 98047880 137267032 171583790 196095760 274534064 343167580 392191520 549068128 686335160 1372670320 2745340640