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1075734464 = 2679912423
BaseRepresentation
bin100000000011110…
…0110011111000000
32202222011222021012
41000013212133000
54200342000324
6254424420052
735441410040
oct10007463700
92688158235
101075734464
11502251252
12260317628
13141b35b8c
14a2c23720
156469120e
hex401e67c0

1075734464 has 56 divisors (see below), whose sum is σ = 2443081728. Its totient is φ = 460373760.

The previous prime is 1075734437. The next prime is 1075734487. The reversal of 1075734464 is 4644375701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442757 + ... + 445179.

Almost surely, 21075734464 is an apocalyptic number.

1075734464 is a gapful number since it is divisible by the number (14) 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 1075734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221540864).

1075734464 is an abundant number, since it is smaller than the sum of its proper divisors (1367347264).

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

1075734464 is an equidigital number, since it uses as much as digits as its factorization.

1075734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 1075734464 is about 32798.3911800564. The cubic root of 1075734464 is about 1024.6330517541.

The spelling of 1075734464 in words is "one billion, seventy-five million, seven hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 991 1982 2423 3964 4846 6937 7928 9692 13874 15856 16961 19384 27748 31712 33922 38768 55496 63424 67844 77536 110992 135688 155072 221984 271376 443968 542752 1085504 2401193 4802386 9604772 16808351 19209544 33616702 38419088 67233404 76838176 134466808 153676352 268933616 537867232 1075734464