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1348245972 = 22345996947
BaseRepresentation
bin101000001011100…
…1001100111010100
310110221221222210000
41100113021213110
510230122332342
6341441331300
745260621163
oct12027114724
93427858700
101348245972
11632060177
12317636b30
1318642aba8
14cb0bd3da
157d57044c
hex505c99d4

1348245972 has 60 divisors (see below), whose sum is σ = 3530973600. Its totient is φ = 448600464.

The previous prime is 1348245967. The next prime is 1348246021. The reversal of 1348245972 is 2795428431.

1348245972 is a `hidden beast` number, since 1 + 34 + 8 + 24 + 597 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 190603 + ... + 197549.

It is an arithmetic number, because the mean of its divisors is an integer number (58849560).

Almost surely, 21348245972 is an apocalyptic number.

1348245972 is a gapful number since it is divisible by the number (12) 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 1348245972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765486800).

1348245972 is an abundant number, since it is smaller than the sum of its proper divisors (2182727628).

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

1348245972 is a wasteful number, since it uses less digits than its factorization.

1348245972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7551 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1348245972 is about 36718.4690857340. The cubic root of 1348245972 is about 1104.7305832938.

The spelling of 1348245972 in words is "one billion, three hundred forty-eight million, two hundred forty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 599 1198 1797 2396 3594 5391 6947 7188 10782 13894 16173 20841 21564 27788 32346 41682 48519 62523 64692 83364 97038 125046 187569 194076 250092 375138 562707 750276 1125414 2250828 4161253 8322506 12483759 16645012 24967518 37451277 49935036 74902554 112353831 149805108 224707662 337061493 449415324 674122986 1348245972