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990609408 = 215323359
BaseRepresentation
bin111011000010111…
…000000000000000
32120001000011122100
4323002320000000
54012044000113
6242144110400
733356020035
oct7302700000
92501004570
10990609408
1146919a568
12237905400
1312a2ccb19
14957c538c
155be78d73
hex3b0b8000

990609408 has 96 divisors (see below), whose sum is σ = 2862568800. Its totient is φ = 330104832.

The previous prime is 990609391. The next prime is 990609419. The reversal of 990609408 is 804906099.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9906094082 = 1962613998436220928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293233 + ... + 296591.

It is an arithmetic number, because the mean of its divisors is an integer number (29818425).

Almost surely, 2990609408 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 990609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431284400).

990609408 is an abundant number, since it is smaller than the sum of its proper divisors (1871959392).

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

990609408 is an equidigital number, since it uses as much as digits as its factorization.

990609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 990609408 is about 31473.9480840901. The cubic root of 990609408 is about 996.8599530923.

The spelling of 990609408 in words is "nine hundred ninety million, six hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3359 4096 4608 6144 6718 8192 9216 10077 12288 13436 16384 18432 20154 24576 26872 30231 32768 36864 40308 49152 53744 60462 73728 80616 98304 107488 120924 147456 161232 214976 241848 294912 322464 429952 483696 644928 859904 967392 1289856 1719808 1934784 2579712 3439616 3869568 5159424 6879232 7739136 10318848 13758464 15478272 20637696 27516928 30956544 41275392 55033856 61913088 82550784 110067712 123826176 165101568 247652352 330203136 495304704 990609408