Search a number
-
+
400630632 = 233471732053
BaseRepresentation
bin10111111000010…
…010001101101000
31000220212010220120
4113320102031220
51310030140012
6103430523240
712633206223
oct2770221550
91026763816
10400630632
111961667a6
12b2206520
136500265c
143b2ca5ba
152528a58c
hex17e12368

400630632 has 64 divisors (see below), whose sum is σ = 1029300480. Its totient is φ = 129883392.

The previous prime is 400630631. The next prime is 400630663. The reversal of 400630632 is 236036004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (400630631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194118 + ... + 196170.

It is an arithmetic number, because the mean of its divisors is an integer number (16082820).

Almost surely, 2400630632 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 400630632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514650240).

400630632 is an abundant number, since it is smaller than the sum of its proper divisors (628669848).

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

400630632 is a wasteful number, since it uses less digits than its factorization.

400630632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 400630632 is about 20015.7595908824. The cubic root of 400630632 is about 737.1933077749.

Adding to 400630632 its reverse (236036004), we get a palindrome (636666636).

The spelling of 400630632 in words is "four hundred million, six hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 173 188 282 346 376 519 564 692 1038 1128 1384 2053 2076 4106 4152 6159 8131 8212 12318 16262 16424 24393 24636 32524 48786 49272 65048 96491 97572 192982 195144 289473 355169 385964 578946 710338 771928 1065507 1157892 1420676 2131014 2315784 2841352 4262028 8524056 16692943 33385886 50078829 66771772 100157658 133543544 200315316 400630632