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103034064 = 2437271617
BaseRepresentation
bin1100010010000…
…10110011010000
321011212200011110
412021002303100
5202334042224
614120213320
72360526600
oct611026320
9234780143
10103034064
1153184021
122a60a240
1318466803
14d980c00
1590a3929
hex6242cd0

103034064 has 120 divisors (see below), whose sum is σ = 314497728. Its totient is φ = 28976640.

The previous prime is 103034051. The next prime is 103034083. The reversal of 103034064 is 460430301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103034064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166684 + ... + 167300.

Almost surely, 2103034064 is an apocalyptic number.

103034064 is a gapful number since it is divisible by the number (14) 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 103034064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248864).

103034064 is an abundant number, since it is smaller than the sum of its proper divisors (211463664).

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

103034064 is a wasteful number, since it uses less digits than its factorization.

103034064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 103034064 is about 10150.5696391877. The cubic root of 103034064 is about 468.8064843578.

Adding to 103034064 its reverse (460430301), we get a palindrome (563464365).

The spelling of 103034064 in words is "one hundred three million, thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 617 784 852 994 1136 1176 1234 1491 1704 1851 1988 2352 2468 2982 3408 3479 3702 3976 4319 4936 5964 6958 7404 7952 8638 9872 10437 11928 12957 13916 14808 17276 20874 23856 25914 27832 29616 30233 34552 41748 43807 51828 55664 60466 69104 83496 87614 90699 103656 120932 131421 166992 175228 181398 207312 241864 262842 306649 350456 362796 483728 525684 613298 700912 725592 919947 1051368 1226596 1451184 1839894 2102736 2146543 2453192 3679788 4293086 4906384 6439629 7359576 8586172 12879258 14719152 17172344 25758516 34344688 51517032 103034064