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1404320430 = 235232107827
BaseRepresentation
bin101001110110100…
…0011101010101110
310121212110212110210
41103231003222232
510334001223210
6351203243250
746541345442
oct12355035256
93555425423
101404320430
1166077a7a7
12332379526
13194c32146
14d4718822
1583449e20
hex53b43aae

1404320430 has 96 divisors (see below), whose sum is σ = 3560505984. Its totient is φ = 354426688.

The previous prime is 1404320413. The next prime is 1404320441. The reversal of 1404320430 is 340234041.

It is a junction number, because it is equal to n+sod(n) for n = 1404320397 and 1404320406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697677 + ... + 1698503.

It is an arithmetic number, because the mean of its divisors is an integer number (37088604).

Almost surely, 21404320430 is an apocalyptic number.

1404320430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780252992).

1404320430 is an abundant number, since it is smaller than the sum of its proper divisors (2156185554).

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

1404320430 is a wasteful number, since it uses less digits than its factorization.

1404320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1404320430 is about 37474.2635684812. The cubic root of 1404320430 is about 1119.8385263596.

Adding to 1404320430 its reverse (340234041), we get a palindrome (1744554471).

The spelling of 1404320430 in words is "one billion, four hundred four million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 138 214 230 321 345 529 535 642 690 827 1058 1070 1587 1605 1654 2461 2481 2645 3174 3210 4135 4922 4962 5290 7383 7935 8270 12305 12405 14766 15870 19021 24610 24810 36915 38042 56603 57063 73830 88489 95105 113206 114126 169809 176978 190210 265467 283015 285315 339618 437483 442445 530934 566030 570630 849045 874966 884890 1312449 1327335 1698090 2035247 2187415 2624898 2654670 4070494 4374830 6105741 6562245 10176235 12211482 13124490 20352470 30528705 46810681 61057410 93621362 140432043 234053405 280864086 468106810 702160215 1404320430