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1374346848 = 25373735483
BaseRepresentation
bin101000111101010…
…1101111001100000
310112210002001110010
41101322231321200
510303313044343
6344213004520
746025520060
oct12172557140
93483061403
101374346848
11645868146
12324323740
1318b9691b4
14d07553a0
15809c8d33
hex51eade60

1374346848 has 96 divisors (see below), whose sum is σ = 4134848256. Its totient is φ = 391546368.

The previous prime is 1374346823. The next prime is 1374346849. The reversal of 1374346848 is 8486434731.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1374346797 and 1374346806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374346849) 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, 247915 + ... + 253397.

It is an arithmetic number, because the mean of its divisors is an integer number (43071336).

Almost surely, 21374346848 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 1374346848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067424128).

1374346848 is an abundant number, since it is smaller than the sum of its proper divisors (2760501408).

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

1374346848 is a wasteful number, since it uses less digits than its factorization.

1374346848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5868 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 1374346848 is about 37072.1842895721. The cubic root of 1374346848 is about 1111.8139450290.

The spelling of 1374346848 in words is "one billion, three hundred seventy-four million, three hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 373 672 746 1119 1492 2238 2611 2984 4476 5222 5483 5968 7833 8952 10444 10966 11936 15666 16449 17904 20888 21932 31332 32898 35808 38381 41776 43864 62664 65796 76762 83552 87728 115143 125328 131592 153524 175456 230286 250656 263184 307048 460572 526368 614096 921144 1228192 1842288 2045159 3684576 4090318 6135477 8180636 12270954 14316113 16361272 24541908 28632226 32722544 42948339 49083816 57264452 65445088 85896678 98167632 114528904 171793356 196335264 229057808 343586712 458115616 687173424 1374346848