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3031342400 = 26523136053
BaseRepresentation
bin1011010010101110…
…1001110101000000
321211021000011000202
42310223221311000
522202010424100
61220444104332
7135055661642
oct26453516500
97737004022
103031342400
111316128459
127072350a8
13394039538
1420a844892
1512b1d57d5
hexb4ae9d40

3031342400 has 84 divisors (see below), whose sum is σ = 7484063772. Its totient is φ = 1208463360.

The previous prime is 3031342381. The next prime is 3031342411. The reversal of 3031342400 is 42431303.

It can be written as a sum of positive squares in 6 ways, for example, as 1410152704 + 1621189696 = 37552^2 + 40264^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497774 + ... + 503826.

Almost surely, 23031342400 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 3031342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742031886).

3031342400 is an abundant number, since it is smaller than the sum of its proper divisors (4452721372).

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

3031342400 is a wasteful number, since it uses less digits than its factorization.

3031342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3031342400 is about 55057.6279910423. The cubic root of 3031342400 is about 1447.2547980191.

Adding to 3031342400 its reverse (42431303), we get a palindrome (3073773703).

The spelling of 3031342400 in words is "three billion, thirty-one million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 313 320 400 626 800 1252 1565 1600 2504 3130 5008 6053 6260 7825 10016 12106 12520 15650 20032 24212 25040 30265 31300 48424 50080 60530 62600 96848 100160 121060 125200 151325 193696 242120 250400 302650 387392 484240 500800 605300 968480 1210600 1894589 1936960 2421200 3789178 4842400 7578356 9472945 9684800 15156712 18945890 30313424 37891780 47364725 60626848 75783560 94729450 121253696 151567120 189458900 303134240 378917800 606268480 757835600 1515671200 3031342400