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400349790 = 2355672459
BaseRepresentation
bin10111110111001…
…101101001011110
31000220022212200000
4113313031221132
51304442143130
6103420515130
712630626361
oct2767155136
91026285600
10400349790
11195a947a5
12b20abaa6
1364c34889
143b2560d8
1525232260
hex17dcda5e

400349790 has 96 divisors (see below), whose sum is σ = 1096018560. Its totient is φ = 105123744.

The previous prime is 400349783. The next prime is 400349791. The reversal of 400349790 is 97943004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400349791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161581 + ... + 164039.

It is an arithmetic number, because the mean of its divisors is an integer number (11416860).

Almost surely, 2400349790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400349790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548009280).

400349790 is an abundant number, since it is smaller than the sum of its proper divisors (695668770).

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

400349790 is a wasteful number, since it uses less digits than its factorization.

400349790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 400349790 is about 20008.7428390691. The cubic root of 400349790 is about 737.0210100503.

The spelling of 400349790 in words is "four hundred million, three hundred forty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 243 270 335 402 405 486 603 670 810 1005 1206 1215 1809 2010 2430 2459 3015 3618 4918 5427 6030 7377 9045 10854 12295 14754 16281 18090 22131 24590 27135 32562 36885 44262 54270 66393 73770 81405 110655 132786 162810 164753 199179 221310 329506 331965 398358 494259 597537 663930 823765 988518 995895 1195074 1482777 1647530 1991790 2471295 2965554 2987685 4448331 4942590 5975370 7413885 8896662 13344993 14827770 22241655 26689986 40034979 44483310 66724965 80069958 133449930 200174895 400349790