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1012000344 = 2331719130547
BaseRepresentation
bin111100010100011…
…110011001011000
32121112020221111020
4330110132121120
54033033002334
6244230402440
734035601215
oct7424363130
92545227436
101012000344
1147a27a923
12242b00420
1313187c394
1498592b0c
155dca1e49
hex3c51e658

1012000344 has 64 divisors (see below), whose sum is σ = 2819836800. Its totient is φ = 300777984.

The previous prime is 1012000337. The next prime is 1012000351. The reversal of 1012000344 is 4430002101.

1012000344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012000337) and next prime (1012000351).

It is a super-2 number, since 2×10120003442 = 2048289392512236672, 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 15 ways as a sum of consecutive naturals, for example, 57522 + ... + 73025.

It is an arithmetic number, because the mean of its divisors is an integer number (44059950).

Almost surely, 21012000344 is an apocalyptic number.

It is an amenable number.

1012000344 is an abundant number, since it is smaller than the sum of its proper divisors (1807836456).

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

1012000344 is a wasteful number, since it uses less digits than its factorization.

1012000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130592 (or 130588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1012000344 is about 31811.9528479469. The cubic root of 1012000344 is about 1003.9842195792.

Adding to 1012000344 its reverse (4430002101), we get a palindrome (5442002445).

The spelling of 1012000344 in words is "one billion, twelve million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 130547 261094 391641 522188 783282 1044376 1566564 2219299 2480393 3133128 4438598 4960786 6657897 7441179 8877196 9921572 13315794 14882358 17754392 19843144 26631588 29764716 42166681 53263176 59529432 84333362 126500043 168666724 253000086 337333448 506000172 1012000344