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1011230304 = 25373833929
BaseRepresentation
bin111100010001100…
…010011001100000
32121110210211012020
4330101202121200
54032333332204
6244202101440
734026213210
oct7421423140
92543724166
101011230304
114798a4327
122427aa880
1313166ca36
1498432240
155db9dbd9
hex3c462660

1011230304 has 96 divisors (see below), whose sum is σ = 3042385920. Its totient is φ = 288095232.

The previous prime is 1011230279. The next prime is 1011230347. The reversal of 1011230304 is 4030321101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255412 + ... + 259340.

It is an arithmetic number, because the mean of its divisors is an integer number (31691520).

Almost surely, 21011230304 is an apocalyptic number.

1011230304 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 1011230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521192960).

1011230304 is an abundant number, since it is smaller than the sum of its proper divisors (2031155616).

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

1011230304 is a wasteful number, since it uses less digits than its factorization.

1011230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1011230304 is about 31799.8475468044. The cubic root of 1011230304 is about 1003.7295081441.

Adding to 1011230304 its reverse (4030321101), we get a palindrome (5041551405).

The spelling of 1011230304 in words is "one billion, eleven million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 383 672 766 1149 1532 2298 2681 3064 3929 4596 5362 6128 7858 8043 9192 10724 11787 12256 15716 16086 18384 21448 23574 27503 31432 32172 36768 42896 47148 55006 62864 64344 82509 85792 94296 110012 125728 128688 165018 188592 220024 257376 330036 377184 440048 660072 880096 1320144 1504807 2640288 3009614 4514421 6019228 9028842 10533649 12038456 18057684 21067298 24076912 31600947 36115368 42134596 48153824 63201894 72230736 84269192 126403788 144461472 168538384 252807576 337076768 505615152 1011230304