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40304640 = 2163541
BaseRepresentation
bin1001100111000…
…0000000000000
32210211200120110
42121300000000
540304222030
63555511320
7666404145
oct231600000
983750513
1040304640
1120829522
12115b8540
1384723cc
1454d23cc
1538121b0
hex2670000

40304640 has 136 divisors (see below), whose sum is σ = 132119568. Its totient is φ = 10485760.

The previous prime is 40304633. The next prime is 40304647. The reversal of 40304640 is 4640304.

It is an interprime number because it is at equal distance from previous prime (40304633) and next prime (40304647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40304647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983020 + ... + 983060.

Almost surely, 240304640 is an apocalyptic number.

40304640 is a gapful number since it is divisible by the number (40) 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 40304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66059784).

40304640 is an abundant number, since it is smaller than the sum of its proper divisors (91814928).

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

40304640 is an frugal number, since it uses more digits than its factorization.

40304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40304640 is about 6348.5935450303. The cubic root of 40304640 is about 342.8612063010.

Adding to 40304640 its reverse (4640304), we get a palindrome (44944944).

The spelling of 40304640 in words is "forty million, three hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 615 640 656 768 820 960 984 1024 1230 1280 1312 1536 1640 1920 1968 2048 2460 2560 2624 3072 3280 3840 3936 4096 4920 5120 5248 6144 6560 7680 7872 8192 9840 10240 10496 12288 13120 15360 15744 16384 19680 20480 20992 24576 26240 30720 31488 32768 39360 40960 41984 49152 52480 61440 62976 65536 78720 81920 83968 98304 104960 122880 125952 157440 163840 167936 196608 209920 245760 251904 314880 327680 335872 419840 491520 503808 629760 671744 839680 983040 1007616 1259520 1343488 1679360 2015232 2519040 2686976 3358720 4030464 5038080 6717440 8060928 10076160 13434880 20152320 40304640