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1023383904 = 25331367937
BaseRepresentation
bin111100111111111…
…001100101100000
32122022200021210120
4330333321211200
54043441241104
6245314400240
734234422354
oct7477714540
92568607716
101023383904
11485745524
12246890080
1313403690a
1499cb7464
155ec9ecd9
hex3cff9960

1023383904 has 96 divisors (see below), whose sum is σ = 2783563776. Its totient is φ = 328872960.

The previous prime is 1023383897. The next prime is 1023383917. The reversal of 1023383904 is 4093833201.

It is a happy number.

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

It is a super-2 number, since 2×10233839042 = 2094629229932562432, which contains 22 as substring.

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, 1091724 + ... + 1092660.

It is an arithmetic number, because the mean of its divisors is an integer number (28995456).

Almost surely, 21023383904 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 1023383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391781888).

1023383904 is an abundant number, since it is smaller than the sum of its proper divisors (1760179872).

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

1023383904 is a wasteful number, since it uses less digits than its factorization.

1023383904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1023383904 is about 31990.3720516033. The cubic root of 1023383904 is about 1007.7346555289.

The spelling of 1023383904 in words is "one billion, twenty-three million, three hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 367 372 496 734 744 937 992 1101 1468 1488 1874 2202 2811 2936 2976 3748 4404 5622 5872 7496 8808 11244 11377 11744 14992 17616 22488 22754 29047 29984 34131 35232 44976 45508 58094 68262 87141 89952 91016 116188 136524 174282 182032 232376 273048 343879 348564 364064 464752 546096 687758 697128 929504 1031637 1092192 1375516 1394256 2063274 2751032 2788512 4126548 5502064 8253096 10660249 11004128 16506192 21320498 31980747 33012384 42640996 63961494 85281992 127922988 170563984 255845976 341127968 511691952 1023383904