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1404412344 = 233431151463
BaseRepresentation
bin101001110110101…
…1010000110111000
310121212122112120000
41103231122012320
510334012143334
6351205233000
746542210426
oct12355320670
93555575500
101404412344
11660832865
12332402760
13194c64c2a
14d4740116
1583467299
hex53b5a1b8

1404412344 has 160 divisors (see below), whose sum is σ = 4096266240. Its totient is φ = 449064000.

The previous prime is 1404412337. The next prime is 1404412349. The reversal of 1404412344 is 4432144041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404412349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3033057 + ... + 3033519.

It is an arithmetic number, because the mean of its divisors is an integer number (25601664).

Almost surely, 21404412344 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 1404412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048133120).

1404412344 is an abundant number, since it is smaller than the sum of its proper divisors (2691853896).

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

1404412344 is a wasteful number, since it uses less digits than its factorization.

1404412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1404412344 is about 37475.4899100732. The cubic root of 1404412344 is about 1119.8629572968.

Adding to 1404412344 its reverse (4432144041), we get a palindrome (5836556385).

The spelling of 1404412344 in words is "one billion, four hundred four million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 151 162 186 216 248 279 302 324 372 453 463 558 604 648 744 837 906 926 1116 1208 1359 1389 1674 1812 1852 2232 2511 2718 2778 3348 3624 3704 4077 4167 4681 5022 5436 5556 6696 8154 8334 9362 10044 10872 11112 12231 12501 14043 14353 16308 16668 18724 20088 24462 25002 28086 28706 32616 33336 37448 37503 42129 43059 48924 50004 56172 57412 69913 75006 84258 86118 97848 100008 112344 114824 126387 129177 139826 150012 168516 172236 209739 252774 258354 279652 300024 337032 344472 379161 387531 419478 505548 516708 559304 629217 758322 775062 838956 1011096 1033416 1162593 1258434 1516644 1550124 1677912 1887651 2167303 2325186 2516868 3033288 3100248 3775302 4334606 4650372 5033736 5662953 6501909 7550604 8669212 9300744 11325906 13003818 15101208 17338424 19505727 22651812 26007636 39011454 45303624 52015272 58517181 78022908 117034362 156045816 175551543 234068724 351103086 468137448 702206172 1404412344