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4200374376 = 23321140912967
BaseRepresentation
bin1111101001011100…
…1010000001101000
3101211201202010102100
43322113022001220
532100243440001
61532444333400
7206042410302
oct37227120150
911751663370
104200374376
111866002490
12992844260
1351c2aa233
142bbbd2972
15198b55586
hexfa5ca068

4200374376 has 96 divisors (see below), whose sum is σ = 12441499200. Its totient is φ = 1269630720.

The previous prime is 4200374371. The next prime is 4200374383. The reversal of 4200374376 is 6734730024.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4200374376.

It is not an unprimeable number, because it can be changed into a prime (4200374371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317445 + ... + 330411.

It is an arithmetic number, because the mean of its divisors is an integer number (129598950).

Almost surely, 24200374376 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 4200374376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220749600).

4200374376 is an abundant number, since it is smaller than the sum of its proper divisors (8241124824).

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

4200374376 is a wasteful number, since it uses less digits than its factorization.

4200374376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399 (or 13392 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4200374376 is about 64810.2952932634. The cubic root of 4200374376 is about 1613.4765834068.

The spelling of 4200374376 in words is "four billion, two hundred million, three hundred seventy-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 409 792 818 1227 1636 2454 3272 3681 4499 4908 7362 8998 9816 12967 13497 14724 17996 25934 26994 29448 35992 38901 40491 51868 53988 77802 80982 103736 107976 116703 142637 155604 161964 233406 285274 311208 323928 427911 466812 570548 855822 933624 1141096 1283733 1711644 2567466 3423288 5134932 5303503 10269864 10607006 15910509 21214012 31821018 42428024 47731527 58338533 63642036 95463054 116677066 127284072 175015599 190926108 233354132 350031198 381852216 466708264 525046797 700062396 1050093594 1400124792 2100187188 4200374376