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1345820796 = 2232611394409
BaseRepresentation
bin101000000110111…
…1001100001111100
310110210101210001200
41100031321201330
510224012231141
6341313335500
745231200535
oct12015714174
93423353050
101345820796
116307540a1
12316867590
13185a8c088
14caa4b68c
157d241ab6
hex5037987c

1345820796 has 72 divisors (see below), whose sum is σ = 3483370800. Its totient is φ = 437978880.

The previous prime is 1345820783. The next prime is 1345820797. The reversal of 1345820796 is 6970285431.

1345820796 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13458207962 = 3622467229892147232, which contains 22 as substring.

1345820796 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345820797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303040 + ... + 307448.

It is an arithmetic number, because the mean of its divisors is an integer number (48380150).

It is a 1-persistent number, because it is pandigital, but 2⋅1345820796 = 2691641592 is not.

Almost surely, 21345820796 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 1345820796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741685400).

1345820796 is an abundant number, since it is smaller than the sum of its proper divisors (2137550004).

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

1345820796 is a wasteful number, since it uses less digits than its factorization.

1345820796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1345820796 is about 36685.4302959635. The cubic root of 1345820796 is about 1104.0678026253.

The spelling of 1345820796 in words is "one billion, three hundred forty-five million, eight hundred twenty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 139 183 244 278 366 417 549 556 732 834 1098 1251 1668 2196 2502 4409 5004 8479 8818 13227 16958 17636 25437 26454 33916 39681 50874 52908 76311 79362 101748 152622 158724 268949 305244 537898 612851 806847 1075796 1225702 1613694 1838553 2420541 2451404 3227388 3677106 4841082 5515659 7354212 9682164 11031318 22062636 37383911 74767822 112151733 149535644 224303466 336455199 448606932 672910398 1345820796