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2078245344 = 253721114657
BaseRepresentation
bin111101111011111…
…1000000111100000
312100211120210122210
41323313320013200
513224012322334
6542120002120
7102333536220
oct17367700740
95324523583
102078245344
1197712a53a
124a0000340
13271741b96
1415a026080
15c26bb5e9
hex7bdf81e0

2078245344 has 96 divisors (see below), whose sum is σ = 6264711936. Its totient is φ = 590929920.

The previous prime is 2078245333. The next prime is 2078245349. The reversal of 2078245344 is 4435428702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078245349) 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, 134464 + ... + 149120.

It is an arithmetic number, because the mean of its divisors is an integer number (65257416).

Almost surely, 22078245344 is an apocalyptic number.

2078245344 is a gapful number since it is divisible by the number (24) 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 2078245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132355968).

2078245344 is an abundant number, since it is smaller than the sum of its proper divisors (4186466592).

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

2078245344 is a wasteful number, since it uses less digits than its factorization.

2078245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14888 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 2078245344 is about 45587.7762563607. The cubic root of 2078245344 is about 1276.1418132954.

The spelling of 2078245344 in words is "two billion, seventy-eight million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 14657 17724 20256 23632 29314 35448 43971 47264 58628 70896 87942 102599 117256 141792 175884 205198 234512 307797 351768 410396 469024 615594 703536 820792 1231188 1407072 1641584 2462376 3092627 3283168 4924752 6185254 9277881 9849504 12370508 18555762 21648389 24741016 37111524 43296778 49482032 64945167 74223048 86593556 98964064 129890334 148446096 173187112 259780668 296892192 346374224 519561336 692748448 1039122672 2078245344