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40103364 = 22372241283
BaseRepresentation
bin1001100011111…
…0110111000100
32210110110110210
42120332313010
540231301424
63551315420
7664605300
oct230766704
983413423
1040103364
1120701284
121151bb70
138401902
14547cd00
1537c2729
hex263edc4

40103364 has 72 divisors (see below), whose sum is σ = 109689888. Its totient is φ = 11370240.

The previous prime is 40103347. The next prime is 40103383. The reversal of 40103364 is 46330104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40103364.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141567 + ... + 141849.

Almost surely, 240103364 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 40103364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54844944).

40103364 is an abundant number, since it is smaller than the sum of its proper divisors (69586524).

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

40103364 is a wasteful number, since it uses less digits than its factorization.

40103364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 40103364 is about 6332.7216897634. The cubic root of 40103364 is about 342.2895192110.

Adding to 40103364 its reverse (46330104), we get a palindrome (86433468).

The spelling of 40103364 in words is "forty million, one hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 241 283 294 482 566 588 723 849 964 1132 1446 1687 1698 1981 2892 3374 3396 3962 5061 5943 6748 7924 10122 11809 11886 13867 20244 23618 23772 27734 35427 41601 47236 55468 68203 70854 83202 136406 141708 166404 204609 272812 409218 477421 818436 954842 1432263 1909684 2864526 3341947 5729052 6683894 10025841 13367788 20051682 40103364