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1034371932 = 22311192291801
BaseRepresentation
bin111101101001110…
…100001101011100
32200002100112112120
4331221310031130
54104244400212
6250350102540
734430005416
oct7551641534
92602315476
101034371932
1149096aa40
1224a4aaa50
131363b30c9
149b5379b6
1560c2088c
hex3da7435c

1034371932 has 96 divisors (see below), whose sum is σ = 2785171200. Its totient is φ = 295488000.

The previous prime is 1034371879. The next prime is 1034371957. The reversal of 1034371932 is 2391734301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1034371893 and 1034371902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573432 + ... + 575232.

It is an arithmetic number, because the mean of its divisors is an integer number (29012200).

Almost surely, 21034371932 is an apocalyptic number.

1034371932 is a gapful number since it is divisible by the number (12) 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 1034371932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392585600).

1034371932 is an abundant number, since it is smaller than the sum of its proper divisors (1750799268).

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

1034371932 is a wasteful number, since it uses less digits than its factorization.

1034371932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1034371932 is about 32161.6531291537. The cubic root of 1034371932 is about 1011.3284913378.

The spelling of 1034371932 in words is "one billion, thirty-four million, three hundred seventy-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 229 418 458 627 687 836 916 1254 1374 1801 2508 2519 2748 3602 4351 5038 5403 7204 7557 8702 10076 10806 13053 15114 17404 19811 21612 26106 30228 34219 39622 47861 52212 59433 68438 79244 95722 102657 118866 136876 143583 191444 205314 237732 287166 376409 410628 412429 574332 752818 824858 1129227 1237287 1505636 1649716 2258454 2474574 4516908 4536719 4949148 7836151 9073438 13610157 15672302 18146876 23508453 27220314 31344604 47016906 54440628 86197661 94033812 172395322 258592983 344790644 517185966 1034371932