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1040374368 = 25351112163
BaseRepresentation
bin111110000000101…
…101101001100000
32200111122111100000
4332000231221200
54112313434433
6251122500000
734532015265
oct7600555140
92614574300
101040374368
1149429a730
12250504600
13137705247
149c25b26c
1561509113
hex3e02da60

1040374368 has 144 divisors (see below), whose sum is σ = 3347338176. Its totient is φ = 315239040.

The previous prime is 1040374367. The next prime is 1040374403. The reversal of 1040374368 is 8634730401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040374367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79455 + ... + 91617.

It is an arithmetic number, because the mean of its divisors is an integer number (23245404).

Almost surely, 21040374368 is an apocalyptic number.

1040374368 is a gapful number since it is divisible by the number (18) 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 1040374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673669088).

1040374368 is an abundant number, since it is smaller than the sum of its proper divisors (2306963808).

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

1040374368 is a wasteful number, since it uses less digits than its factorization.

1040374368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12199 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1040374368 is about 32254.8348003830. The cubic root of 1040374368 is about 1013.2809579732.

The spelling of 1040374368 in words is "one billion, forty million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9504 10692 12163 14256 21384 24326 28512 36489 42768 48652 72978 85536 97304 109467 133793 145956 194608 218934 267586 291912 328401 389216 401379 437868 535172 583824 656802 802758 875736 985203 1070344 1167648 1204137 1313604 1605516 1751472 1970406 2140688 2408274 2627208 2955609 3211032 3502944 3612411 3940812 4281376 4816548 5254416 5911218 6422064 7224822 7881624 9633096 10508832 10837233 11822436 12844128 14449644 15763248 19266192 21674466 23644872 28899288 31526496 32511699 38532384 43348932 47289744 57798576 65023398 86697864 94579488 115597152 130046796 173395728 260093592 346791456 520187184 1040374368