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40014304 = 25111931193
BaseRepresentation
bin1001100010100…
…1000111100000
32210021221022021
42120221013200
540220424204
63545351224
7664054531
oct230510740
983257267
1040014304
1120650380
1211498514
1383a0205
145458688
1537a6154
hex26291e0

40014304 has 96 divisors (see below), whose sum is σ = 93864960. Its totient is φ = 16588800.

The previous prime is 40014283. The next prime is 40014313. The reversal of 40014304 is 40341004.

It is a super-2 number, since 2×400143042 = 3202289049208832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 207232 + ... + 207424.

It is an arithmetic number, because the mean of its divisors is an integer number (977760).

Almost surely, 240014304 is an apocalyptic number.

40014304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932480).

40014304 is an abundant number, since it is smaller than the sum of its proper divisors (53850656).

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

40014304 is a wasteful number, since it uses less digits than its factorization.

40014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40014304 is about 6325.6860497499. The cubic root of 40014304 is about 342.0359503036.

Adding to 40014304 its reverse (40341004), we get a palindrome (80355308).

The spelling of 40014304 in words is "forty million, fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 76 88 124 152 176 193 209 248 304 341 352 386 418 496 589 608 682 772 836 992 1178 1364 1544 1672 2123 2356 2728 3088 3344 3667 4246 4712 5456 5983 6176 6479 6688 7334 8492 9424 10912 11966 12958 14668 16984 18848 23932 25916 29336 33968 40337 47864 51832 58672 65813 67936 80674 95728 103664 113677 117344 131626 161348 191456 207328 227354 263252 322696 454708 526504 645392 909416 1053008 1250447 1290784 1818832 2106016 2500894 3637664 5001788 10003576 20007152 40014304