Search a number
-
+
70401744 = 2433731751
BaseRepresentation
bin1000011001000…
…11111011010000
311220110210001000
410030203323100
5121010323434
610552542000
71513255620
oct414437320
9156423030
1070401744
1136815966
121b6b1900
131177c64a
1494c8880
1562a9b99
hex4323ed0

70401744 has 160 divisors (see below), whose sum is σ = 238714880. Its totient is φ = 19440000.

The previous prime is 70401739. The next prime is 70401761. The reversal of 70401744 is 44710407.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93369 + ... + 94119.

It is an arithmetic number, because the mean of its divisors is an integer number (1491968).

Almost surely, 270401744 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 70401744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119357440).

70401744 is an abundant number, since it is smaller than the sum of its proper divisors (168313136).

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

70401744 is a wasteful number, since it uses less digits than its factorization.

70401744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 70401744 is about 8390.5747121398. The cubic root of 70401744 is about 412.9154558069.

The spelling of 70401744 in words is "seventy million, four hundred one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 751 756 837 868 1008 1116 1302 1488 1502 1512 1674 1736 1953 2232 2253 2604 3004 3024 3348 3472 3906 4464 4506 5208 5257 5859 6008 6696 6759 7812 9012 10416 10514 11718 12016 13392 13518 15624 15771 18024 20277 21028 23281 23436 27036 31248 31542 36048 40554 42056 46562 46872 47313 54072 63084 69843 81108 84112 93124 93744 94626 108144 126168 139686 141939 162216 162967 186248 189252 209529 252336 279372 283878 324432 325934 372496 378504 419058 488901 558744 567756 628587 651868 757008 838116 977802 1117488 1135512 1257174 1303736 1466703 1676232 1955604 2271024 2514348 2607472 2933406 3352464 3911208 4400109 5028696 5866812 7822416 8800218 10057392 11733624 17600436 23467248 35200872 70401744