Search a number
-
+
3401423632 = 242341593821
BaseRepresentation
bin1100101010111101…
…1001101100010000
322210001101020001001
43022233121230100
523431231024012
61321304151344
7150201423655
oct31257315420
98701336031
103401423632
111496018a12
127ab168554
13422903b09
14243a5bc2c
1514d939357
hexcabd9b10

3401423632 has 80 divisors (see below), whose sum is σ = 7165791360. Its totient is φ = 1559782400.

The previous prime is 3401423629. The next prime is 3401423647. The reversal of 3401423632 is 2363241043.

3401423632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3401423632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888282 + ... + 892102.

It is an arithmetic number, because the mean of its divisors is an integer number (89572392).

Almost surely, 23401423632 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 3401423632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582895680).

3401423632 is an abundant number, since it is smaller than the sum of its proper divisors (3764367728).

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

3401423632 is a wasteful number, since it uses less digits than its factorization.

3401423632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 3401423632 is about 58321.7252145373. The cubic root of 3401423632 is about 1503.9044402278.

Adding to 3401423632 its reverse (2363241043), we get a palindrome (5764664675).

The spelling of 3401423632 in words is "three billion, four hundred one million, four hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 41 46 59 82 92 118 164 184 236 328 368 472 656 943 944 1357 1886 2419 2714 3772 3821 4838 5428 7544 7642 9676 10856 15088 15284 19352 21712 30568 38704 55637 61136 87883 111274 156661 175766 222548 225439 313322 351532 445096 450878 626644 703064 890192 901756 1253288 1406128 1803512 2506576 3603203 3607024 5185097 7206406 9242999 10370194 14412812 18485998 20740388 28825624 36971996 41480776 57651248 73943992 82961552 147887984 212588977 425177954 850355908 1700711816 3401423632